# Directory and Data Import
setwd("/home/joshk/git_repositories/BrookTrout_TG/Data")
Trout = read.csv("BrookTrout.csv")
Trout = subset(Trout, !is.na(Mother.ID))
Trout = subset(Trout, !is.na(Father.ID))
Trout$Offspring.Acc = as.factor(Trout$Offspring.Acc)
Trout$Mother.Acc = as.factor(Trout$Mother.Acc)
Trout$Father.Acc = as.factor(Trout$Father.Acc)
Trout$Mother.ID = as.factor(Trout$Mother.ID)
Trout$Father.ID = as.factor(Trout$Father.ID)
options(na.action = "na.fail")
## Packages
library('easypackages')
libraries('car','dotwhisker',"dplyr","ggplot2","grid","gridExtra",
"knitr","lme4","magrittr", "MuMIn", "nlme","purrr","rmarkdown")Sectioning Data
Mass.Spec = Trout[,c(1:6, 11:17)]
N.Mass.Spec = Trout[,c(1:10, 14:17)]Assigning ggplot2 themes for figures
my.theme = theme(panel.grid.minor = element_blank(),
axis.title = element_text(size = 14, family = "Noto Sans"),
axis.text = element_text(size = 14, colour = "black", family = "Noto Sans"),
axis.title.y = element_text(angle = 0, vjust = 0.5), panel.grid.major =
element_line(colour = "grey75"), legend.title = element_text(size = 14,
colour = "black", family = "Noto Sans"), legend.text = element_text(size = 12,
colour = "black", family = "Noto Sans"))
my.theme.dw = theme(panel.grid.minor = element_blank(), panel.grid.major = element_blank(),
axis.title = element_text(size = 12, family = "Noto Sans"),
axis.text = element_text(size = 12, colour = "black", family = "Noto Sans"),
legend.title = element_text(size = 12,
colour = "black", family = "Noto Sans"), legend.text = element_text(size = 12,
colour = "black", family = "Noto Sans"))
my.theme.diag = theme(panel.grid.minor = element_blank(), panel.grid.major = element_blank(),
axis.title = element_text(size = 8, family = "Noto Sans"),
axis.text = element_text(size = 8, colour = "black", family = "Noto Sans"),
legend.title = element_text(size = 8,
colour = "black", family = "Noto Sans"), legend.text = element_text(size = 8,
colour = "black", family = "Noto Sans"))Assessing distribution of response variables
{
RMR.MS.Hist = ggplot(data = Mass.Spec, aes(x = RMR.MS)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(Mass.Spec), mean(RMR.MS)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Resting Metabolic \n Rate (mg O2/h)")
MMR.MS.Hist = ggplot(data = Mass.Spec, aes(x = MMR.MS)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(Mass.Spec), mean(MMR.MS)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Maximum Metabolic \n Rate (mg O2/h)")
AAS.MS.Hist = ggplot(data = Mass.Spec, aes(x = AAS.MS)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(Mass.Spec), mean(AAS.MS)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Absolute Aerobic \n Scope")
RMR.Hist = ggplot(data = N.Mass.Spec, aes(x = RMR)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(N.Mass.Spec), mean(RMR)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Resting Metabolic \n Rate (mg O2/h)")
MMR.Hist = ggplot(data = N.Mass.Spec, aes(x = MMR)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(N.Mass.Spec), mean(MMR)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Maximum Metabolic \n Rate (mg O2/h)")
AAS.Hist = ggplot(data = N.Mass.Spec, aes(x = AAS)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(na.omit(N.Mass.Spec), mean(AAS)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Absolute Aerobic \n Scope")
}
grid.arrange(RMR.MS.Hist, MMR.MS.Hist, AAS.MS.Hist,
RMR.Hist, MMR.Hist, AAS.Hist, nrow = 2,
top = "Row 1 : Mass Specific, Row 2: Non-Mass Specific") 
Mass.hist = ggplot(data = Trout, aes(x = Mass)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(Trout, mean(Mass)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Mass")
CTM.hist = ggplot(data = Trout, aes(x = CTM)) +
geom_histogram(colour = "black", fill = "royalblue") + my.theme + theme_bw() +
geom_vline(xintercept=with(subset(N.Mass.Spec, !is.na(CTM)), mean(CTM)), size = 1.25,
colour="darkred", linetype = "dotted") + xlab("Critical Thermal Maximum (Degrees C)")
grid.arrange(Mass.hist, CTM.hist, nrow = 1)
## Mass appears to fit a Gaussian distibution, but mass specific
## parameters do not. Critical thermal maximum not awfully skewed, and all
## non-mass specific parameters meet gaussian distributions.Plotting Trends with Non Mass-Specific Data
# Boxplots
{
Mass.plot1 = ggplot(data = N.Mass.Spec, aes(x = as.factor(Parent.group), y = Mass)) +
my.theme + theme_bw() + geom_boxplot(fill = "cadetblue") + xlab("Parent Group")
Mass.plot2 = ggplot(data = N.Mass.Spec, aes(x = as.factor(Family), y = Mass)) +
my.theme + theme_bw() + geom_boxplot(fill = "mediumorchid") + xlab("Family")
Maternal.Bin = ggplot(data = N.Mass.Spec, aes(x = as.factor(Mother.Acc), y = Mass)) +
my.theme + theme_bw() + geom_boxplot(fill = "gold2") + xlab("Maternal Acclimation")
Paternal.Bin = ggplot(data = N.Mass.Spec, aes(x = as.factor(Father.Acc), y = Mass)) +
my.theme + theme_bw() + geom_boxplot(fill = "darkseagreen2") + xlab("Paternal Acclimation")
Offspring.Bin = ggplot(data = N.Mass.Spec, aes(x = as.factor(Offspring.Acc), y = Mass)) +
my.theme + theme_bw() + geom_boxplot(fill = "lightcoral") + xlab("Offspring Acclimation")
Details = ggplot(data = data.frame("x" = c(1:100), "y" = c(1:100)), aes(x = x, y = y)) +
theme_void() + theme(legend.position="none") + annotate("text", x = 25, y = 70, label =
"Central lines represent the \n median of each category.")
}
grid.arrange(Mass.plot1, Mass.plot2, Maternal.Bin, Paternal.Bin, Offspring.Bin,
Details, nrow = 3, top = "Mass by Group") 
## Large variation between families, and significant variation between parent groups. Surprising
## that offspring from cold acclimated parents are larger, but not surprising that warm acclimated
## offspring are larger.
RMR.by.Treat = ggplot(data = N.Mass.Spec, aes(x = as.factor(Parent.group), y = RMR)) +
my.theme + theme_bw() + geom_boxplot(fill = "cadetblue") + xlab("Parent Group") +
ylab("Resting Metabolic Rate \n (mg O2/h)")
MMR.by.Treat = ggplot(data = N.Mass.Spec, aes(x = as.factor(Parent.group), y = AAS)) +
my.theme + theme_bw() + geom_boxplot(fill = "palegreen3") + xlab("Parent Group") +
ylab("Maximum Metabolic Rate \n (mg O2/h)")
AAS.by.Treat = ggplot(data = N.Mass.Spec, aes(x = as.factor(Parent.group), y = RMR)) +
my.theme + theme_bw() + geom_boxplot(fill = "tomato1") + xlab("Parent Group") +
ylab("Absolute Aerobic Scope")
CTM.by.Treat = ggplot(data = N.Mass.Spec, aes(x = as.factor(Parent.group), y = CTM)) +
my.theme + theme_bw() + geom_boxplot(fill = "thistle") + xlab("Parent Group") +
ylab("Critical Thermal Maximum \n (Degrees C)")
grid.arrange(RMR.by.Treat, MMR.by.Treat, AAS.by.Treat, CTM.by.Treat,
nrow = 2, top = "Metabolic Rate, Scope, and Critical Thermal Max by Treatment") 
# No distinct trends outside of maximum metabolic rate by parent groups 1 and 4.
RMR.by.Fam = ggplot(data = N.Mass.Spec, aes(x = as.factor(Family), y = RMR)) +
my.theme + theme_bw() + geom_boxplot(fill = "cadetblue") + xlab("Parent Group") +
ylab("Resting Metabolic Rate \n (mg O2/h)")
MMR.by.Fam = ggplot(data = N.Mass.Spec, aes(x = as.factor(Family), y = MMR)) +
my.theme + theme_bw() + geom_boxplot(fill = "palegreen3") + xlab("Family") +
ylab("Maximum Metabolic Rate \n (mg O2/h)")
AAS.by.Fam = ggplot(data = N.Mass.Spec, aes(x = as.factor(Family), y = AAS)) +
my.theme + theme_bw() + geom_boxplot(fill = "tomato1") + xlab("Family") +
ylab("Absolute Aerobic Scope")
CTM.by.Fam = ggplot(data = N.Mass.Spec, aes(x = as.factor(Family), y = CTM)) +
my.theme + theme_bw() + geom_boxplot(fill = "thistle") + xlab("Family") +
ylab("Critical Thermal Maximum \n (Degrees C)")
grid.arrange(RMR.by.Fam, MMR.by.Fam, AAS.by.Fam, CTM.by.Fam,
nrow = 2, top = "Metabolic Rate, Scope, and Critical Thermal Max by Family") 
## No consistent patterns accross families.
# Mass specific plots
RMR.MS.by.Treat = ggplot(data = Mass.Spec, aes(x = as.factor(Parent.group), y = RMR.MS, fill = Offspring.Acc)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Parent Group") + theme(legend.position = "top") +
annotate("rect", xmin = 0.6, xmax = 2.4, ymin = 80, ymax = 570, alpha = .2) +
ylab("Mass Specific Resting \n Metabolic Rate(mg O2/kg/h)")
MMR.MS.by.Treat = ggplot(data = Mass.Spec, aes(x = as.factor(Parent.group), y = MMR.MS, fill = Offspring.Acc)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Parent Group") + theme(legend.position = "top") +
annotate("rect", xmin = 0.6, xmax = 2.4, ymin = 225, ymax = 610, alpha = .2) +
ylab("Mass Specific Maximum \n Metabolic Rate (mg O2/kg/h)")
AAS.MS.by.Treat = ggplot(data = Mass.Spec, aes(x = as.factor(Parent.group), y = AAS.MS, fill = Offspring.Acc)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Parent Group") + theme(legend.position = "top") +
annotate("rect", xmin = 0.6, xmax = 2.4, ymin = 100, ymax = 450, alpha = .2) +
ylab("Mass Specific Absolute \n Aerobic Scope")
Details = ggplot(data = data.frame("x" = c(1:100), "y" = c(1:100)), aes(x = x, y = y)) +
theme_void() + theme(legend.position="none") + annotate("text", x = 25, y = 70, label =
"Grey boxes highlight parental \n group by offspring \n acclimation interactions.")
grid.arrange(RMR.MS.by.Treat, MMR.MS.by.Treat, AAS.MS.by.Treat, Details,
nrow = 2, top = "Mass Specific Metabolic Rate and Scope by Treatment") 
RMR.MS.by.Fam = ggplot(data = Mass.Spec, aes(x = as.factor(Family), y = RMR.MS)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Parent Group") +
ylab("Mass Specific Resting \n Metabolic Rate (mg O2/kg/h)")
MMR.MS.Fam = ggplot(data = Mass.Spec, aes(x = as.factor(Family), y = MMR.MS)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Family") +
ylab("Mass Specific Maximum \n Metabolic Rate (mg O2/kg/h)")
AAS.MS.Fam = ggplot(data = Mass.Spec, aes(x = as.factor(Family), y = AAS.MS)) +
my.theme + theme_bw() + geom_boxplot() + xlab("Family") +
ylab("Mass Specific Absolute \n Aerobic Scope")
grid.arrange(RMR.by.Fam, MMR.by.Fam, AAS.by.Fam, CTM.by.Fam,
nrow = 2, top = "Mass Specific Metabolic Rate and Scope by Treatment") 
## Again, nothing clearly deviating from norm.Scaling with Mass
RMR.by.Mass = ggplot(data = N.Mass.Spec, aes(x = Mass, y = RMR)) +
my.theme + theme_bw() + geom_point(size = 3, colour = "cadetblue", alpha = 0.3) + xlab("Mass (g)") +
geom_smooth(method = lm, colour = "black") + ylab("Resting Metabolic Rate \n (mg O2/h)")
MMR.by.Mass = ggplot(data = N.Mass.Spec, aes(x = Mass, y = AAS)) +
my.theme + theme_bw() + geom_point(size = 3, colour = "palegreen3", alpha = 0.3) + xlab("Mass (g)") +
geom_smooth(method = lm, colour = "black") + ylab("Maximum Metabolic Rate \n (mg O2/h)")
AAS.by.Mass = ggplot(data = N.Mass.Spec, aes(x = Mass, y = RMR)) +
my.theme + theme_bw() + geom_point(size = 3, colour = "thistle", alpha = 0.3) + xlab("Mass (g)") +
geom_smooth(method = lm, colour = "black") + ylab("Absolute Aerobic Scope")
CTM.by.Mass = ggplot(data = N.Mass.Spec, aes(x = Mass, y = CTM)) +
my.theme + theme_bw() + geom_point(size = 3, colour = "gold2", alpha = 0.3) + xlab("Mass (g)") +
geom_smooth(method = lm, colour = "black") + ylab("Critical Thermal Maximum \n (Degrees C)")
grid.arrange(RMR.by.Mass, MMR.by.Mass, AAS.by.Mass, CTM.by.Mass,
nrow = 2, top = "Metabolic Rate and Scope by Mass") 
# No clear outliers, but critical thermal maximum and resting metabolic rate heterogenious
# by mass. Weighting will be necessary if mass-specific responses not used.Assessing Outliers with Dotplots
RMR.NMS.Data = subset(N.Mass.Spec, !is.na(RMR))
RMR.dotplot = ggplot(data = RMR.NMS.Data, aes(x = RMR, y =
(1:nrow(RMR.NMS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "gold2", alpha = 0.5) + xlab("Resting Metabolic Rate (mg O2/h)") +
ylab("Row Number") + annotate("rect", xmin = (with(RMR.NMS.Data, mean(RMR) - 3*sd(RMR))),
xmax = (with(RMR.NMS.Data, mean(RMR) + 3*sd(RMR))), ymin = 0, ymax = nrow(RMR.NMS.Data),
alpha = .2)
MMR.NMS.Data = subset(N.Mass.Spec, !is.na(MMR))
MMR.dotplot = ggplot(data = MMR.NMS.Data, aes(x = MMR, y =
(1:nrow(MMR.NMS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "royalblue", alpha = 0.5) + xlab("Maximum Metabolic Rate (mg O2/h)") +
ylab("Row Number") + annotate("rect", xmin = (with(MMR.NMS.Data, mean(MMR) - 3*sd(MMR))),
xmax = (with(MMR.NMS.Data, mean(MMR) + 3*sd(MMR))), ymin = 0, ymax = nrow(MMR.NMS.Data),
alpha = .2)
AAS.NMS.Data = subset(N.Mass.Spec, !is.na(AAS))
AAS.dotplot = ggplot(data = AAS.NMS.Data, aes(x = AAS, y =
(1:nrow(AAS.NMS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "darkseagreen2", alpha = 0.5) + xlab("Absolute Aerobic Scope") +
ylab("Row Number") + annotate("rect", xmin = (with(AAS.NMS.Data, mean(AAS) - 3*sd(AAS))),
xmax = (with(AAS.NMS.Data, mean(AAS) + 3*sd(AAS))), ymin = 0, ymax = nrow(AAS.NMS.Data),
alpha = .2)
CTM.NMS.Data = subset(N.Mass.Spec, !is.na(CTM))
CTM.dotplot = ggplot(data = CTM.NMS.Data, aes(x = CTM, y =
(1:nrow(CTM.NMS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "black", alpha = 0.5) + xlab("Critical Thermal Maximum (Degrees C)") +
ylab("Row Number") + annotate("rect", xmin = (with(CTM.NMS.Data, mean(CTM) - 3*sd(CTM))),
xmax = (with(CTM.NMS.Data, mean(CTM) + 3*sd(CTM))), ymin = 0, ymax = nrow(CTM.NMS.Data),
alpha = .2)
grid.arrange(RMR.dotplot, MMR.dotplot, AAS.dotplot, CTM.dotplot,
nrow = 2, top = "Non-Mass Specific Response Dotplots: \n Grey boxed represent mean +/-
three standard deviations") 
## Outliers not extremely distinct, so retained but monitored below.
## Repeating dotplots for mass-specific data.
RMR.MS.Data = subset(Mass.Spec, !is.na(RMR.MS))
RMR.dotplot = ggplot(data = RMR.MS.Data, aes(x = RMR.MS, y =
(1:nrow(RMR.MS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "gold2", alpha = 0.5) + xlab("Resting Metabolic Rate (mg O2/kg/h)") +
ylab("Row Number") + annotate("rect", xmin = (with(RMR.MS.Data, mean(RMR.MS) - 3*sd(RMR.MS))),
xmax = (with(RMR.MS.Data, mean(RMR.MS) + 3*sd(RMR.MS))), ymin = 0, ymax = nrow(RMR.MS.Data),
alpha = .2)
MMR.MS.Data = subset(Mass.Spec, !is.na(MMR.MS))
MMR.dotplot = ggplot(data = MMR.MS.Data, aes(x = MMR.MS, y =
(1:nrow(MMR.MS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "royalblue", alpha = 0.5) + xlab("Maximum Metabolic Rate (mg O2/kg/h)") +
ylab("Row Number") + annotate("rect", xmin = (with(MMR.MS.Data, mean(MMR.MS) - 3*sd(MMR.MS))),
xmax = (with(MMR.MS.Data, mean(MMR.MS) + 3*sd(MMR.MS))), ymin = 0, ymax = nrow(MMR.MS.Data),
alpha = .2)
AAS.MS.Data = subset(Mass.Spec, !is.na(AAS.MS))
AAS.dotplot = ggplot(data = AAS.MS.Data, aes(x = AAS.MS, y =
(1:nrow(AAS.MS.Data)))) + my.theme + theme_bw() + geom_point(size =
3, colour = "darkseagreen2", alpha = 0.5) + xlab("Absolute Aerobic Scope") +
ylab("Row Number") + annotate("rect", xmin = (with(AAS.MS.Data, mean(AAS.MS) - 3*sd(AAS.MS))),
xmax = (with(AAS.MS.Data, mean(AAS.MS) + 3*sd(AAS.MS))), ymin = 0, ymax = nrow(AAS.MS.Data),
alpha = .2)
Details = ggplot(data = data.frame("x" = c(1:100), "y" = c(1:100)), aes(x = x, y = y)) +
theme_void() + theme(legend.position="none") + annotate("text", x = 25, y = 70, label =
"Grey boxes represent mean +/- \n three standard deviations")
grid.arrange(RMR.dotplot, MMR.dotplot, AAS.dotplot, Details,
nrow = 2, top = "Mass Specific Response Dotplots")
# One outlier, though not visually concerning. Retaining and monitoring below.##Non-Mass Specific Linear Models
####Note that sires are not unique to dams; therefore random effects should be crossed
RMR.model = lmer(RMR ~ Mother.Acc*Father.Acc*Offspring.Acc + Mass + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = RMR.NMS.Data)
MMR.model = lmer(MMR ~ Mother.Acc*Father.Acc*Offspring.Acc + Mass + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = MMR.NMS.Data)
AAS.model = lmer(AAS ~ Mother.Acc*Father.Acc*Offspring.Acc + Mass + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = AAS.NMS.Data)
CTM.model = lmer(CTM ~ Mother.Acc*Father.Acc*Offspring.Acc + Mass + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, weights = Mass, data = CTM.NMS.Data)
# Sample sizes
nrow(RMR.NMS.Data)## [1] 186nrow(MMR.NMS.Data)## [1] 224nrow(AAS.NMS.Data)## [1] 170nrow(CTM.NMS.Data)## [1] 216###Quick Assessment of Dispersion
{
RMR.Dev = abs(summary(RMR.model)$AICtab[[4]]/summary(RMR.model)$AICtab[[5]])
MMR.Dev = abs(summary(MMR.model)$AICtab[[4]]/summary(MMR.model)$AICtab[[5]])
AAS.Dev = abs(summary(AAS.model)$AICtab[[4]]/summary(AAS.model)$AICtab[[5]])
CTM.Dev = abs(summary(CTM.model)$AICtab[[4]]/summary(CTM.model)$AICtab[[5]])
}
print(paste("RMR:", RMR.Dev, "MMR:", MMR.Dev, "AAS:", AAS.Dev, "CTM:", CTM.Dev, sep = " "))## [1] "RMR: 0.363211108446256 MMR: 0.0141738136619573 AAS: 0.271903624981455 CTM: 0.0593597551129788"# All highly over-dispersed###Repeating with log Transformed Response Variable and Mass; Save for AAS.
RMR.model = lmer(log(RMR) ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = RMR.NMS.Data)
MMR.model = lmer(log(MMR) ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = MMR.NMS.Data)
AAS.model = lmer(AAS ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = AAS.NMS.Data)
CTM.model = lmer(CTM ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, weights = Mass, data = CTM.NMS.Data)
# Double-checking dispersion
{
RMR.Dev = abs(summary(RMR.model)$AICtab[[4]]/summary(RMR.model)$AICtab[[5]])
MMR.Dev = abs(summary(MMR.model)$AICtab[[4]]/summary(MMR.model)$AICtab[[5]])
AAS.Dev = abs(summary(AAS.model)$AICtab[[4]]/summary(AAS.model)$AICtab[[5]])
CTM.Dev = abs(summary(CTM.model)$AICtab[[4]]/summary(CTM.model)$AICtab[[5]])
}
print(paste("RMR:", RMR.Dev, "MMR:", MMR.Dev, "AAS:", AAS.Dev, "CTM:", CTM.Dev, sep = " "))## [1] "RMR: 1.29944000445268 MMR: 0.0456298181606057 AAS: 0.285021278373539 CTM: 0.0595168880242838"## Slightly better.
# Checking sample size for each grouping, and calculating power
RMR.NMS.Data %>% group_by(Offspring.Acc, Father.Acc, Mother.Acc) %>%
summarize(N = n()) %>% as.data.frame() %>% summarize(Mean = mean(N), SD = sd(N))## Mean SD
## 1 23.25 5.700877require('pwr')
num_df = nrow(summary(RMR.model)$coefficients) - 1
den_df = nrow(RMR.NMS.Data) - (num_df + 1)
pwr.f2.test(u = num_df, v = den_df, f2 = 0.05, sig.level = 0.05)##
## Multiple regression power calculation
##
## u = 8
## v = 177
## f2 = 0.05
## sig.level = 0.05
## power = 0.5284571##Conducting Model Iterations and Sorting by AIC
AIC.Results.NMS = vector('list', 4)
models = c("RMR.model", "MMR.model", "AAS.model", "CTM.model")
# Looping through models, running with all combinations of predictors,
# then sorting by AICc
for (i in 1:length(models)){
AIC.Results.NMS[[i]] = subset(dredge(get(models[i]), rank = "AICc",
extra = list(R2 = function(x) r.squaredGLMM(x))), delta < 10)
}
Select.Models.NMS = c()
Delta.NMS = c()
Response = c()
Marg.R2 = c()
Cond.R2 = c()
# Looping through models and collecting metrics of fit (i.e. marginal and conditional r-squared values)
for (j in 1:length(AIC.Results.NMS)){
for (i in 1:length(attr(AIC.Results.NMS[[j]], "model.calls"))){
Select.Models.NMS[i] = gsub(".*~ ", "", paste(attr(AIC.Results.NMS[[j]], "model.calls")[[i]])[2])
Delta.NMS[i] = AIC.Results.NMS[[j]]$delta[i]
Response[i] = gsub(" ~.*", "", paste(attr(AIC.Results.NMS[[j]], "model.calls")[[i]])[2])
Marg.R2[i] = AIC.Results.NMS[[j]]$R21[i]
Cond.R2[i] = AIC.Results.NMS[[j]]$R22[i]
if (i == length(attr(AIC.Results.NMS[[j]], "model.calls"))){
Table = data.frame("Reponse.Type" = "Mass Independant", "Response" = Response,
"Delta.AIC" = Delta.NMS, "Marginal.R2" = Marg.R2, "Conditional.R2" = Cond.R2,
"Equation" = Select.Models.NMS)
assign(paste("AIC.Selection", "NMS", j, sep = "_"), Table)
}
}
Select.Models.NMS = c()
Delta.NMS = c()
Response = c()
Marg.R2 = c()
Cond.R2 = c()
}
AIC.Selection.NMS = rbind(AIC.Selection_NMS_1, AIC.Selection_NMS_2, AIC.Selection_NMS_3, AIC.Selection_NMS_4)##Conducting Mass-Specific Linear Models
RMR.MS.model = lmer(RMR.MS ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = RMR.MS.Data)
MMR.MS.model = lmer(MMR.MS ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = MMR.MS.Data)
AAS.MS.model = lmer(AAS.MS ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = AAS.MS.Data)###Quickly Assessing Dispersion.
{
RMR.MS.Dev = abs(summary(RMR.MS.model)$AICtab[[4]]/summary(RMR.MS.model)$AICtab[[5]])
MMR.MS.Dev = abs(summary(MMR.MS.model)$AICtab[[4]]/summary(MMR.MS.model)$AICtab[[5]])
AAS.MS.Dev = abs(summary(AAS.MS.model)$AICtab[[4]]/summary(AAS.MS.model)$AICtab[[5]])
}
print(paste("RMR:", RMR.MS.Dev, "MMR:", MMR.MS.Dev, "AAS:", AAS.MS.Dev, sep = " "))## [1] "RMR: 12.8500706198959 MMR: 12.1844411795225 AAS: 12.1235924890615"# All very over-dispersed. Log-transform response and repeat.
RMR.MS.model = lmer(log(RMR.MS) ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = RMR.MS.Data)
MMR.MS.model = lmer(log(MMR.MS) ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = MMR.MS.Data)
AAS.MS.model = lmer(log(AAS.MS) ~ Mother.Acc*Father.Acc*Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = AAS.MS.Data)
{
RMR.MS.Dev = abs(summary(RMR.MS.model)$AICtab[[4]]/summary(RMR.MS.model)$AICtab[[5]])
MMR.MS.Dev = abs(summary(MMR.MS.model)$AICtab[[4]]/summary(MMR.MS.model)$AICtab[[5]])
AAS.MS.Dev = abs(summary(AAS.MS.model)$AICtab[[4]]/summary(AAS.MS.model)$AICtab[[5]])
}
print(paste("RMR:", RMR.MS.Dev, "MMR:", MMR.MS.Dev, "AAS:", AAS.MS.Dev, sep = " "))## [1] "RMR: 1.20661839775676 MMR: 0.372623478173389 AAS: 0.407045832769152"# Significantly better.##Again, Conducting Model Iterations and Sorting by AIC.
AIC.Results.MS = vector('list', 3)
models.MS = c("RMR.MS.model", "MMR.MS.model", "AAS.MS.model")
# Again, looping through models, re-running with all combinations of predictors, then calculating AICc
for (i in 1:length(models.MS)){
AIC.Results.MS[[i]] = subset(dredge(get(models.MS[i]), rank = "AICc",
extra = list(R2 = function(x) r.squaredGLMM(x))), delta < 10)
}
Select.Models.MS = c()
Delta.MS = c()
Response.MS = c()
Marg.R2.MS = c()
Cond.R2.MS = c()
# Looping through models and pulling out metrics of fit
for (j in 1:length(AIC.Results.MS)){
for (i in 1:length(attr(AIC.Results.MS[[j]], "model.calls"))){
Select.Models.MS[i] = gsub(".*~ ", "", paste(attr(AIC.Results.MS[[j]], "model.calls")[[i]])[2])
Delta.MS[i] = AIC.Results.MS[[j]]$delta[i]
Response.MS[i] = gsub(" ~.*", "", paste(attr(AIC.Results.MS[[j]], "model.calls")[[i]])[2])
Marg.R2.MS[i] = AIC.Results.MS[[j]]$R21[i]
Cond.R2.MS[i] = AIC.Results.MS[[j]]$R22[i]
if (i == length(attr(AIC.Results.MS[[j]], "model.calls"))){
Table = data.frame("Reponse.Type" = "Mass-Specific", "Response" = Response.MS,
"Delta.AIC" = Delta.MS, "Marginal.R2" = Marg.R2.MS, "Conditional.R2" = Cond.R2.MS,
"Equation" = Select.Models.MS)
assign(paste("AIC.Selection", "MS", j, sep = "_"), Table)
}
}
Select.Models.MS = c()
Delta.MS = c()
Response.MS = c()
Marg.R2.MS = c()
Cond.R2.MS = c()
}
AIC.Selection.MS = rbind(AIC.Selection_MS_1, AIC.Selection_MS_2, AIC.Selection_MS_3)
# Stacking all top models
AIC.Selection = rbind(AIC.Selection.MS, AIC.Selection.NMS)
print(AIC.Selection, right = F)## Reponse.Type Response Delta.AIC Marginal.R2 Conditional.R2
## 1 Mass-Specific log(RMR.MS) 0.0000000 0.096893406 0.232585377
## 2 Mass-Specific log(RMR.MS) 0.4320103 0.053173310 0.240437710
## 3 Mass-Specific log(RMR.MS) 1.2633111 0.119499835 0.229420583
## 4 Mass-Specific log(RMR.MS) 1.6197476 0.076527651 0.233321010
## 5 Mass-Specific log(RMR.MS) 2.1592505 0.096883830 0.232579539
## 6 Mass-Specific log(RMR.MS) 3.4158810 0.119488586 0.228524187
## 7 Mass-Specific log(RMR.MS) 3.4339163 0.119662682 0.230781821
## 8 Mass-Specific log(RMR.MS) 3.4465742 0.119498539 0.229415547
## 9 Mass-Specific log(RMR.MS) 3.7625995 0.076639665 0.234918266
## 10 Mass-Specific log(RMR.MS) 5.6133294 0.119635050 0.229813129
## 11 Mass-Specific log(RMR.MS) 5.6233967 0.119487860 0.228511664
## 12 Mass-Specific log(RMR.MS) 5.6416400 0.119663749 0.230793240
## 13 Mass-Specific log(RMR.MS) 7.8457075 0.119636994 0.229817526
## 14 Mass-Specific log(RMR.MS) 9.2054714 0.123544421 0.234261527
## 15 Mass-Specific log(RMR.MS) 9.6359036 0.042108328 0.147303133
## 16 Mass-Specific log(MMR.MS) 0.0000000 0.120819398 0.142015628
## 17 Mass-Specific log(MMR.MS) 1.1337870 0.124820634 0.147076069
## 18 Mass-Specific log(MMR.MS) 1.6198084 0.073047609 0.149428049
## 19 Mass-Specific log(MMR.MS) 1.6632302 0.122837064 0.145818385
## 20 Mass-Specific log(MMR.MS) 2.7260488 0.077010507 0.155635207
## 21 Mass-Specific log(MMR.MS) 2.7981663 0.126409532 0.147141163
## 22 Mass-Specific log(MMR.MS) 2.8091275 0.126874372 0.150942976
## 23 Mass-Specific log(MMR.MS) 3.1451250 0.125299705 0.147122991
## 24 Mass-Specific log(MMR.MS) 4.4679396 0.078296179 0.155626011
## 25 Mass-Specific log(MMR.MS) 4.5445400 0.128233974 0.150738011
## 26 Mass-Specific log(MMR.MS) 4.7897724 0.127036217 0.147226264
## 27 Mass-Specific log(MMR.MS) 4.8318359 0.127376227 0.151009093
## 28 Mass-Specific log(MMR.MS) 6.5494559 0.128872410 0.150797081
## 29 Mass-Specific log(MMR.MS) 8.6127708 0.129301148 0.149887552
## 30 Mass-Specific log(AAS.MS) 0.0000000 0.060302235 0.060302235
## 31 Mass-Specific log(AAS.MS) 1.6058206 0.063319235 0.063319235
## 32 Mass-Specific log(AAS.MS) 1.6547206 0.063048269 0.063048269
## 33 Mass-Specific log(AAS.MS) 2.7150419 0.069211046 0.069211046
## 34 Mass-Specific log(AAS.MS) 3.2960644 0.066006761 0.066006761
## 35 Mass-Specific log(AAS.MS) 3.8171171 0.063123771 0.063123771
## 36 Mass-Specific log(AAS.MS) 4.4085037 0.072012289 0.072012289
## 37 Mass-Specific log(AAS.MS) 5.2780560 0.067227194 0.067227194
## 38 Mass-Specific log(AAS.MS) 5.4877412 0.066069601 0.066069601
## 39 Mass-Specific log(AAS.MS) 6.3908730 0.073373700 0.073373700
## 40 Mass-Specific log(AAS.MS) 6.6248050 0.072090713 0.072090713
## 41 Mass-Specific log(AAS.MS) 7.4941599 0.067307113 0.067307113
## 42 Mass-Specific log(AAS.MS) 8.3897446 0.000000000 0.000000000
## 43 Mass-Specific log(AAS.MS) 8.6315027 0.073472445 0.073472445
## 44 Mass-Specific log(AAS.MS) 9.8600456 0.003857163 0.003857163
## 45 Mass Independant log(RMR) 0.0000000 0.133984899 0.187297773
## 46 Mass Independant log(RMR) 1.2602254 0.141776312 0.205374533
## 47 Mass Independant log(RMR) 1.6073708 0.150429756 0.217648435
## 48 Mass Independant log(RMR) 1.6474074 0.128699092 0.173080515
## 49 Mass Independant log(RMR) 2.7321064 0.132748636 0.170710975
## 50 Mass Independant log(RMR) 2.8878776 0.135787938 0.190074963
## 51 Mass Independant log(RMR) 3.2743628 0.144635226 0.202897141
## 52 Mass Independant log(RMR) 4.0588194 0.140009483 0.188800811
## 53 Mass Independant log(RMR) 4.0950899 0.099888733 0.216120581
## 54 Mass Independant log(RMR) 4.5640317 0.148063744 0.200173714
## 55 Mass Independant log(RMR) 4.8488012 0.139278802 0.198212673
## 56 Mass Independant log(RMR) 5.0625559 0.110898124 0.246417343
## 57 Mass Independant log(RMR) 5.2947376 0.147628464 0.209939254
## 58 Mass Independant log(RMR) 5.5675794 0.093682927 0.198157075
## 59 Mass Independant log(RMR) 6.0925789 0.142859278 0.195183515
## 60 Mass Independant log(RMR) 6.4945585 0.101711516 0.224066355
## 61 Mass Independant log(RMR) 6.6513777 0.150652261 0.206487915
## 62 Mass Independant log(RMR) 8.3512657 0.104532707 0.233419043
## 63 Mass Independant log(RMR) 8.6324400 0.150978522 0.206358093
## 64 Mass Independant log(MMR) 0.0000000 0.369204428 0.371864266
## 65 Mass Independant log(MMR) 0.5548350 0.379425977 0.386493764
## 66 Mass Independant log(MMR) 0.6787176 0.369634153 0.369634153
## 67 Mass Independant log(MMR) 0.7216353 0.375106754 0.379281757
## 68 Mass Independant log(MMR) 0.8325546 0.375573418 0.377046113
## 69 Mass Independant log(MMR) 1.2075921 0.385680917 0.394550417
## 70 Mass Independant log(MMR) 1.3053415 0.373890912 0.373984540
## 71 Mass Independant log(MMR) 1.4075558 0.380198320 0.382605826
## 72 Mass Independant log(MMR) 2.6399397 0.376765576 0.379010103
## 73 Mass Independant log(MMR) 3.2056969 0.381486629 0.384726037
## 74 Mass Independant log(MMR) 3.2512482 0.374441840 0.374441840
## 75 Mass Independant log(MMR) 3.3253542 0.385438581 0.393927233
## 76 Mass Independant log(MMR) 3.3308469 0.380825663 0.383007187
## 77 Mass Independant log(MMR) 3.5169143 0.380270351 0.382249352
## 78 Mass Independant log(MMR) 5.1302226 0.382164903 0.385183875
## 79 Mass Independant log(MMR) 5.3559491 0.381511403 0.384372428
## 80 Mass Independant log(MMR) 5.4417725 0.380933265 0.382619852
## 81 Mass Independant log(MMR) 7.2855769 0.382215205 0.384786410
## 82 Mass Independant log(MMR) 7.8733692 0.386191961 0.386782126
## 83 Mass Independant AAS 0.0000000 0.379306754 0.379306754
## 84 Mass Independant AAS 1.5094369 0.381744663 0.381744663
## 85 Mass Independant AAS 2.1236991 0.379498459 0.379498459
## 86 Mass Independant AAS 2.6531066 0.385599404 0.385599404
## 87 Mass Independant AAS 3.6519021 0.381965771 0.381965771
## 88 Mass Independant AAS 4.3197068 0.379524264 0.379524264
## 89 Mass Independant AAS 4.8437724 0.385744203 0.385744203
## 90 Mass Independant AAS 5.1677514 0.351902531 0.351902531
## 91 Mass Independant AAS 5.5495969 0.383179239 0.383179239
## 92 Mass Independant AAS 5.8765842 0.381987328 0.381987328
## 93 Mass Independant AAS 6.6565265 0.354426090 0.354426090
## 94 Mass Independant AAS 6.7438725 0.387043061 0.387043061
## 95 Mass Independant AAS 7.0961929 0.385766785 0.385766785
## 96 Mass Independant AAS 7.1765895 0.352440551 0.352440551
## 97 Mass Independant AAS 7.7990045 0.383212887 0.383212887
## 98 Mass Independant AAS 8.7040291 0.354915814 0.354915814
## 99 Mass Independant AAS 9.0213227 0.387078480 0.387078480
## 100 Mass Independant CTM 0.0000000 0.307085155 0.308859389
## 101 Mass Independant CTM 1.8460872 0.307848386 0.308588655
## 102 Mass Independant CTM 9.6375874 0.283614049 0.284607155
## Equation
## 1 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 2 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 3 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 4 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 5 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 6 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 7 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 8 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 9 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 10 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 11 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 12 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 13 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 14 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 15 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 16 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 17 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 18 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 19 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 20 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 21 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 22 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 23 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 24 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 25 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 26 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 27 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 28 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 29 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 30 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 31 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 32 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 33 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 34 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 35 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 36 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 37 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 38 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 39 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 40 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 41 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 42 (1 | Mother.ID) + (1 | Father.ID)
## 43 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 44 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 45 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 46 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 47 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 48 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 49 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 50 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 51 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 52 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 53 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 54 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 55 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 56 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 57 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 58 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 59 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 60 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 61 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 62 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 63 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 64 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 65 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 66 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 67 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 68 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 69 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 70 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 71 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 72 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 73 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 74 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 75 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 76 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 77 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 78 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 79 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 80 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 81 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 82 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 83 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 84 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 85 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 86 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 87 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 88 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 89 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 90 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 91 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 92 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 93 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 94 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 95 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 96 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 97 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 98 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 99 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 100 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 101 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 102 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Accwrite.csv(AIC.Selection, "Model_Outputs_AICc.csv", row.names = FALSE)##Mass Specific Model Assessment ###Testing Model Assumptions for Resting Metabolic Rate Models: Model 1.
RMR.MS.m1 = lmer(log(RMR.MS) ~ Mother.Acc + Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = RMR.MS.Data)
summary(RMR.MS.m1)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.08590
## Father.ID (Intercept) 0.15246
## Residual 0.41617# Interesting. Father ID explains greater variance in data.
Res.Alone = ggplot(data = data.frame("Res" = residuals(RMR.MS.m1, type = "deviance")),
aes(x = 1:nrow(RMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(RMR.MS.m1), "Fit" = predict(RMR.MS.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(RMR.MS.m1), "Resp" = log(RMR.MS.Data$RMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1 = ggplot(data.frame("Res" = residuals(RMR.MS.m1), "Fit" = predict(RMR.MS.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm.1, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals") 
## All looking well! Checking qqplot confidence intervals.
qqPlot(residuals(RMR.MS.m1, type = "deviance"), ylab = "Deviance Residuals")
## 48 170
## 43 145 ## Good.
r.squaredGLMM(RMR.MS.m1)## R2m R2c
## [1,] 0.09689341 0.2325854# Very low marginal R2, though not surprising.
# Parameter-specific heteroskedasticity
{
DamT.Res = ggplot(data = RMR.MS.Data, aes(x = as.factor(Mother.Acc),
y = residuals(RMR.MS.m1, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(RMR.MS.m1, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res = ggplot(data = RMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(RMR.MS.m1, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(residuals(RMR.MS.m1, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
}
grid.arrange(DamT.Res, OffT.Res, nrow = 1,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
## Residuals heterogenous.###Model Result Plot.
dwdata = data.frame(term = c(rownames(summary(RMR.MS.m1)$coefficients)),
estimate = c(summary(RMR.MS.m1)$coefficients[1:3]),
std.error = c(summary(RMR.MS.m1)$coefficients[4:6]),
statistic = c(summary(RMR.MS.m1)$coefficients[7:9]))
p.values = c()
for (i in 1:nrow(dwdata)){
p.values[i] = pt(abs(dwdata$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata$p.values = round(p.values, 3)
dwdata$term = c("(Intercept)", "Dam Acclimation Temperature",
"Offspring Acclimation Temperature")
dwdata$estimate = dwdata$estimate*10
dwdata$std.error= dwdata$std.error*10
dwdata %>%
dwplot(style = "distribution", show_intercept = FALSE, alpha = 0.5) + theme_bw() + theme(legend.position = "none") + my.theme.dw +
xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = "darkorchid") + scale_colour_manual(values = "black") +
scale_x_continuous(limits = c(-5,5), breaks = c(-5.0, -2.5, 0, 2.5, 5.0), label = c("-0.50", "-0.25", "0", "0.25", "0.50")) +
annotate("text", x = -4.2, y = 1.4, label = paste("p = ", dwdata$p.value[3])) +
annotate("text", x = 4.6, y = 2.2, label = paste("p = ", dwdata$p.value[2]))
dwdata$estimate = dwdata$estimate/10
dwdata$std.error= dwdata$std.error/10###Testing Model Assumptions for Resting Metabolic Rate Models: Model 2.
RMR.MS.m2 = lmer(log(RMR.MS) ~ Offspring.Acc + (1|Mother.ID) +(1|Father.ID), REML = FALSE,
data = RMR.MS.Data)
summary(RMR.MS.m2)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.13616
## Father.ID (Intercept) 0.15553
## Residual 0.41631# Slightly biased toward paternal ID.
Res.Alone.m2 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m2, type = "deviance")),
aes(x = 1:nrow(RMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m2 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m2), "Fit" = predict(RMR.MS.m2)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m2 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m2), "Resp" = log(RMR.MS.Data$RMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m2 = ggplot(data.frame("Res" = residuals(RMR.MS.m2), "Fit" = predict(RMR.MS.m2)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m2, Res.by.Fit.m2, Res.by.Resp.m2, QQNorm.1.m2, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals") 
## Again, looking well, outside of slight deviation at high quantiles. Checking qqplot confidence intervals.
qqPlot(residuals(RMR.MS.m2, type = "deviance"), ylab = "Deviance Residuals")
## 48 170
## 43 145 # Still within confidence intervals.
r.squaredGLMM(RMR.MS.m2)## R2m R2c
## [1,] 0.05317331 0.2404377 # Remarkably low marginal R2.. Arguably meaningless.
## Residual variance by factor.
OffT.Res.m2 = ggplot(data = RMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(RMR.MS.m1, "deviance"))) + my.theme +
theme_bw() + geom_boxplot(fill = "darkseagreen", aes(middle =
mean(residuals(RMR.MS.m2, "deviance")))) + xlab("Offspring Acclimation Temperature") +
ylab("Deviance Residuals")
print(OffT.Res.m2)
# No distinct trend.
# Calculating p-values.
dwdata.m2 = data.frame(term = c(rownames(summary(RMR.MS.m2)$coefficients)),
estimate = c(summary(RMR.MS.m2)$coefficients[1:2]),
std.error = c(summary(RMR.MS.m2)$coefficients[3:4]),
statistic = c(summary(RMR.MS.m2)$coefficients[5:6]))
p.values.m2 = c()
for (i in 1:nrow(dwdata.m2)){
p.values.m2[i] = pt(abs(dwdata.m2$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.m2$p.values = round(p.values.m2, 3)
dwdata.m2$term = c("(Intercept)", "Offspring Acclimation Temperature")###Testing Model Assumptions for Resting Metabolic Rate Models: Model 3.
RMR.MS.m3 = lmer(log(RMR.MS) ~ Father.Acc + Mother.Acc + Offspring.Acc +
(1 | Mother.ID) + (1 | Father.ID), REML = FALSE, data = RMR.MS.Data)
summary(RMR.MS.m3)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.086156
## Father.ID (Intercept) 0.131477
## Residual 0.416194# Similar variance explained to model iterations above.
Res.Alone.m3 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m3, type = "deviance")),
aes(x = 1:nrow(RMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m3 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m3), "Fit" = predict(RMR.MS.m3)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m3 = ggplot(data = data.frame("Res" = residuals(RMR.MS.m3), "Resp" = log(RMR.MS.Data$RMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m3 = ggplot(data.frame("Res" = residuals(RMR.MS.m3), "Fit" = predict(RMR.MS.m3)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m3, Res.by.Fit.m3, Res.by.Resp.m3, QQNorm.1.m3, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals") 
# Well behaved.
r.squaredGLMM(RMR.MS.m3)## R2m R2c
## [1,] 0.1194998 0.2294206 # Interesting. Highest residual variation explained by fixed effects alone, of all model
# iterations.
## Residual variance by factor.
{
SireT.Res.m3 = ggplot(data = RMR.MS.Data, aes(x = as.factor(Father.Acc),
y = residuals(RMR.MS.m3, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "gold2", aes(middle = mean(residuals(RMR.MS.m3, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
DamT.Res.m3 = ggplot(data = RMR.MS.Data, aes(x = as.factor(Mother.Acc),
y = residuals(RMR.MS.m3, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(RMR.MS.m3, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res.m3 = ggplot(data = RMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(RMR.MS.m3, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(residuals(RMR.MS.m3, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
}
grid.arrange(SireT.Res.m3, DamT.Res.m3, OffT.Res.m3, nrow = 1,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
## Subtle distinctions in spread, but not of concern.
# Model result plots
dwdata.m3 = data.frame(term = c(rownames(summary(RMR.MS.m3)$coefficients)),
estimate = c(summary(RMR.MS.m3)$coefficients[1:4]),
std.error = c(summary(RMR.MS.m3)$coefficients[5:8]),
statistic = c(summary(RMR.MS.m3)$coefficients[9:12]))
p.values.m3 = c()
for (i in 1:nrow(dwdata.m3)){
p.values.m3[i] = pt(abs(dwdata.m3$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.m3$p.values = round(p.values.m3, 3)
dwdata.m3$term = c("(Intercept)", "Sire Acclimation Temperature", "Dam Acclimation Temperature",
"Offspring Acclimation Temperature")
dwdata.m3$estimate = dwdata.m3$estimate*10
dwdata.m3$std.error= dwdata.m3$std.error*10
dwdata.m3 %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() + theme(legend.position = "none") + my.theme.dw +
xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = "cornflowerblue") + scale_colour_manual(values = "black") +
scale_x_continuous(limits = c(-6.0,6.0), breaks = c(-6.0, -3.0, 0, 3.0, 6.0), label = c("-0.60", "-0.30", "0", "0.30", "0.60")) +
annotate("text", x = -4.0, y = 1.4, label = paste("p = ", dwdata.m3$p.value[4])) +
annotate("text", x = 4.5, y = 2.3, label = paste("p = ", dwdata.m3$p.value[3])) +
annotate("text", x = 4.3, y = 3.2, label = paste("p = ", dwdata.m3$p.value[2]))
dwdata.m3$estimate = dwdata.m3$estimate/10
dwdata.m3$std.error= dwdata.m3$std.error/10Overlaying Resting Metabolic Rate Model Plots
dwdata = dwdata %>% mutate(model = "Model 1")
dwdata.m2 = dwdata.m2 %>% mutate(model = "Model 2")
dwdata.m3 = dwdata.m3 %>% mutate(model = "Model 3")
RMR.MS.Models = rbind(dwdata, dwdata.m2, dwdata.m3)
RMR.MS.Models$estimate = RMR.MS.Models$estimate*10
RMR.MS.Models$std.error = RMR.MS.Models$std.error*10
RMR.MS.Models %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() +
theme(legend.justification = c(-0.1,0),
legend.position = c(0,0.01)) + my.theme.dw + xlab("Coefficient") +
ylab("") + geom_vline(xintercept = 0,
colour = "black", linetype = 2) + scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + scale_x_continuous(limits = c(-6.0,6.0),
breaks = c(-6.0, -3.0, 0, 3.0, 6.0),
label = c("-0.60", "-0.30", "0", "0.30", "0.60"))
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Mass Specific Resting Metabolic Rate Model Comparisons.jpeg", dpi = 800, limitsize = TRUE)
RMR.MS.Models$estimate = RMR.MS.Models$estimate/10
RMR.MS.Models$std.error = RMR.MS.Models$std.error/10
RMR.Fit.m1 = data.frame("Response" = c(log(RMR.MS.Data$RMR.MS)), "Fit" = c(predict(RMR.MS.m1)))
RMR.Fit.m2 = data.frame("Response" = c(log(RMR.MS.Data$RMR.MS)), "Fit" = c(predict(RMR.MS.m2)))
RMR.Fit.m3 = data.frame("Response" = c(log(RMR.MS.Data$RMR.MS)), "Fit" = c(predict(RMR.MS.m3)))
RMR.Fit.m1 = RMR.Fit.m1 %>% mutate(model = "Model 1")
RMR.Fit.m2 = RMR.Fit.m2 %>% mutate(model = "Model 2")
RMR.Fit.m3 = RMR.Fit.m3 %>% mutate(model = "Model 3")
RMR.Fit.All = rbind(RMR.Fit.m1, RMR.Fit.m2, RMR.Fit.m3)
RMR.Fits = ggplot(data = RMR.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted log Mass Specific Resting Metabolic Rate") +
ylab("Measured log Mass Specific \n Resting Metabolic Rate") + scale_fill_manual(values =
c("mediumseagreen", "mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(RMR.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Mass Specific Resting Metabolic Rate Model Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)##Mass Specific Model Assessment ###Testing Model Assumptions for Maximum Metabolic Rate Models: Model 1.
## Assessing parameter-specific heterogeneity.
{
PatT.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = log(MMR.MS))) + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(log(MMR.MS)))) +
xlab("Sire Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
DamT.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Mother.Acc),
y = log(MMR.MS))) + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(log(MMR.MS)))) +
xlab("Dam Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
OffT.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = log(MMR.MS))) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(log(MMR.MS)))) +
xlab("Offspring Acclimation Temperature") +
ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Pat.by.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = log(MMR.MS), fill = Offspring.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() +
scale_fill_manual(values = c("mediumorchid", "royalblue")) +
xlab("Sire Acclimation Temperature") +
ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Pat.by.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = log(MMR.MS), fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumseagreen",
"royalblue")) + xlab("Sire Acclimation Temperature") +
ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Off.by.MMR = ggplot(data = MMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = log(MMR.MS), fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumorchid",
"mediumseagreen")) + xlab("Offspring Acclimation Temperature") +
ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
}
grid.arrange(PatT.MMR, DamT.MMR, OffT.MMR, Pat.by.MMR, Pat.by.MMR,
Off.by.MMR, nrow = 2,
top = "Fixed Effects by Response: Boxplot Bars Represent Means") 
require('plyr')
{
PatT.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Father.Acc, summarise, mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS)))) + theme_bw() + geom_errorbar(mapping = aes(x = as.factor(Father.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1, color = "cornflowerblue") +
xlab("Sire Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
DamT.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Mother.Acc, summarise, mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS)))) + theme_bw() + geom_errorbar(mapping = aes(x = as.factor(Mother.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1, color = "mediumorchid") +
xlab("Dam Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
OffT.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Offspring.Acc, summarise, mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS)))) + theme_bw() + geom_errorbar(mapping = aes(x = as.factor(Offspring.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1, color = "mediumseagreen") +
xlab("Offspring Acclimation Temperature") +
ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Pat.by.Off.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Father.Acc*Offspring.Acc, summarise,
mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS))), aes(colour = Offspring.Acc)) + theme_bw() +
geom_errorbar(mapping = aes(x = as.factor(Father.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1) +
scale_colour_manual(values = c("cornflowerblue", "gold2")) + theme(legend.position = "top") +
xlab("Sire Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Pat.by.Mat.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Father.Acc*Mother.Acc, summarise, mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS))), aes(colour = Mother.Acc)) + theme_bw() +
geom_errorbar(mapping = aes(x = as.factor(Father.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1) +
scale_colour_manual(values = c("cornflowerblue", "violetred2")) + theme(legend.position = "top") +
xlab("Sire Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
Mat.by.Off.MMR.Err = ggplot(ddply(MMR.MS.Data, ~Offspring.Acc*Mother.Acc, summarise,
mean = mean(log(MMR.MS)),
High.Conf = mean(log(MMR.MS)) + 2*sd(log(MMR.MS)), Low.Conf = mean(log(MMR.MS)) -
2*sd(log(MMR.MS))), aes(colour = Offspring.Acc)) + theme_bw() +
geom_errorbar(mapping = aes(x = as.factor(Mother.Acc),
ymin = c(Low.Conf), ymax = c(High.Conf)), width = 0.2, size = 1) +
scale_colour_manual(values = c("gold2", "violetred2")) + theme(legend.position = "top") +
xlab("Dam Acclimation Temperature") + ylab("Log Mass Specific \n Maximum Metabolic Rate \n (mg O2/kg/h)")
}
grid.arrange(PatT.MMR.Err, DamT.MMR.Err, OffT.MMR.Err, Pat.by.Off.MMR.Err,
Pat.by.Mat.MMR.Err, Mat.by.Off.MMR.Err, nrow = 2,
top = "Fixed Effects by Response: Error Bars Represent 95% Confidence Intervals") 
# Little reason for concern.
## Model 1
MMR.MS.m1 = lmer(log(MMR.MS) ~ Father.Acc + Offspring.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = MMR.MS.Data)
summary(MMR.MS.m1)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.03177
## Residual 0.20213# Maternal ID explains zero variance. Retaining for comparability with downstream model iterations.
Res.Alone.m1 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m1, type = "deviance")),
aes(x = 1:nrow(MMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m1 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m1), "Fit" = predict(MMR.MS.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m1 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m1), "Resp" = log(MMR.MS.Data$MMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m1 = ggplot(data.frame("Res" = residuals(MMR.MS.m1), "Fit" = predict(MMR.MS.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m1, Res.by.Fit.m1, Res.by.Resp.m1, QQNorm.1.m1, nrow = 2, top =
"Mass Specific Maximum Metabolic Rate Residuals")
# Residuals vs fitted okay, but residuals very non-normal.
## Identifying individuals of concern.
qqPlot(residuals(MMR.MS.m1, type = "deviance"), ylab = "Deviance Residuals")
## 170 86
## 167 84 # Majority of right tail exceeding confidence intervals.
{
PatT.Res.m1 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = residuals(MMR.MS.m1, "deviance"))) + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(MMR.MS.m1, "deviance")))) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res.m1 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(MMR.MS.m1, "deviance"))) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(residuals(MMR.MS.m1, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
Pat.by.Off.T.Res.m1 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = residuals(MMR.MS.m1, type = "deviance"), fill = Offspring.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() +
scale_fill_manual(values = c("mediumorchid", "royalblue")) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
}
grid.arrange(PatT.Res.m1, OffT.Res.m1, Pat.by.Off.T.Res.m1, nrow = 2,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
# No concern with variance structure.
# Assessing outlier patterns.
Out = MMR.MS.Data[c(which(residuals(MMR.MS.m1, type = "deviance") >= 0.22)),]
In = MMR.MS.Data[-c(which(residuals(MMR.MS.m1, type = "deviance") >= 0.22)),]
Out = Out %>% mutate(Group = "Outlier")
In = In %>% mutate(Group = "Inlier")
MMR.MS.Data.mod = rbind(Out, In)
Out.Mass.MMR = ggplot(data = MMR.MS.Data.mod, aes(x = as.factor(Group),
y = Mass)) + theme_bw() +
geom_boxplot(fill = "royalblue") +
xlab("Outlier Group") + ylab("Mass (g)")
Out.MMR = ggplot(data = MMR.MS.Data.mod, aes(x = as.factor(Group),
y = MMR.MS)) + theme_bw() +
geom_boxplot(fill = "royalblue") +
xlab("Outlier Group") + ylab("Maximum Mass Specific \n Metabolic Rate")
grid.arrange(Out.Mass.MMR, Out.MMR)
Sweep = as.data.frame(ddply(MMR.MS.Data.mod, ~Group, summarise,
Off.Ratio = sum(Offspring.Acc == 1)/sum(Offspring.Acc == 2),
Pat.Ratio = sum(Father.Acc == 1)/sum(Father.Acc == 2)))
Global = data.frame("Group" = "Global", "Off.Ratio" = length(which(MMR.MS.Data.mod$Offspring.Acc ==1))/
length(which(MMR.MS.Data.mod$Offspring.Acc ==2)),
"Pat.Ratio" = length(which(MMR.MS.Data.mod$Father.Acc ==1))/
length(which(MMR.MS.Data.mod$Father.Acc ==2)))
Sweep = rbind(Sweep, Global)
# Disproportionate number of individuals from cold-reared fathers in outliers.
# Perhaps test a constant variance by sire acclimation temperature.
MMR.MS.m1 = lme(log(MMR.MS) ~ Father.Acc + Offspring.Acc, random =
list(~1|Mother.ID, ~1|Father.ID), weights = varIdent(form = ~1|Father.Acc),
data = MMR.MS.Data)
qqPlot(residuals(MMR.MS.m1, type = "normalized"), ylab = "Normalized Residuals")
## 3/4 1/3
## 84 167 # Very little, if any, correction.
MMR.MS.m1 = lmer(log(MMR.MS) ~ Father.Acc + Offspring.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = MMR.MS.Data)
Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.MS.m1, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.3/8 * ..count..))
Resp.hist = ggplot(data.frame(Resp = c(log(MMR.MS.Data$MMR.MS)), Model = "Model1"),
aes(Resp, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5) + theme_bw() +
my.theme + xlab("log Mass Specific Maximum \n Metabolic Rate") + ylab("Count") + scale_fill_manual(values =
c("gold2")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.25/7.5 * ..count..))
grid.arrange(Resid.hist, Resp.hist, nrow = 1, top =
"Mass Specific Maximum Metabolic Rate Histograms")
## Strangely bimodal, but *no more bimodal than the raw response*. Perhaps improper to use these data at all?
# Calculating p-values
MMR.dwdata = data.frame(term = c(rownames(summary(MMR.MS.m1)$coefficients)),
estimate = c(summary(MMR.MS.m1)$coefficients[1:3]),
std.error = c(summary(MMR.MS.m1)$coefficients[4:6]),
statistic = c(summary(MMR.MS.m1)$coefficients[7:9]))
p.values = c()
for (i in 1:nrow(MMR.dwdata)){
p.values[i] = pt(abs(MMR.dwdata$statistic[i]), df = 8, lower.tail = FALSE)
}
MMR.dwdata$p.values = round(p.values, 3)
MMR.dwdata$term = c("(Intercept)", "Sire Acclimation Temperature",
"Offspring Acclimation Temperature")
print(MMR.dwdata) ## term estimate std.error statistic p.values
## 1 (Intercept) 5.9923085 0.03258909 183.874659 0.000
## 2 Sire Acclimation Temperature 0.1027712 0.04174533 2.461860 0.020
## 3 Offspring Acclimation Temperature -0.1181378 0.02724302 -4.336442 0.001###Testing Model Assumptions for Maximum Metabolic Rate Models: Model 2.
MMR.MS.m2 = lmer(log(MMR.MS) ~ Father.Acc + Mother.Acc + Offspring.Acc +
(1 | Mother.ID) + (1 | Father.ID), REML = FALSE, data = MMR.MS.Data)
summary(MMR.MS.m2)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 3.7095e-06
## Father.ID (Intercept) 3.2569e-02
## Residual 2.0162e-01# Both mother and dather ID explain minimal, but recognizable variance.
Res.Alone.m2 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m2, type = "deviance")),
aes(x = 1:nrow(MMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m2 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m2), "Fit" = predict(MMR.MS.m2)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m2 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m2), "Resp" = log(MMR.MS.Data$MMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m2 = ggplot(data.frame("Res" = residuals(MMR.MS.m2), "Fit" = predict(MMR.MS.m2)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m2, Res.by.Fit.m2, Res.by.Resp.m2, QQNorm.1.m2, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
## Similar trends to model 1.
qqPlot(residuals(MMR.MS.m2, type = "deviance"), ylab = "Deviance Residuals")
## 170 86
## 167 84 Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.MS.m2, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.3/8 * ..count..))
print(Resid.hist)
# Bimodal as before.
#Parameter-specific heterogeneity
{
PatT.Res.m2 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Father.Acc),
y = residuals(MMR.MS.m2, "deviance"))) + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(MMR.MS.m2, "deviance")))) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res.m2 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(MMR.MS.m2, "deviance"))) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(residuals(MMR.MS.m2, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
DamT.Res.m2 = ggplot(data = MMR.MS.Data, aes(x = as.factor(Mother.Acc),
y = residuals(MMR.MS.m2, type = "deviance"))) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(residuals(MMR.MS.m2, "deviance")))) +
scale_fill_manual(values = c("mediumorchid", "royalblue")) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
}
grid.arrange(PatT.Res.m2, OffT.Res.m2, DamT.Res.m2, nrow = 2,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
# As above, nothing of concern.
r.squaredGLMM(MMR.MS.m2)## R2m R2c
## [1,] 0.1248206 0.1470761# Expectedly low.
# Model result plots
MMR.dwdata2 = data.frame(term = c(rownames(summary(MMR.MS.m2)$coefficients)),
estimate = c(summary(MMR.MS.m2)$coefficients[1:4]),
std.error = c(summary(MMR.MS.m2)$coefficients[5:8]),
statistic = c(summary(MMR.MS.m2)$coefficients[9:12]))
p.values = c()
for (i in 1:nrow(MMR.dwdata2)){
p.values[i] = pt(abs(MMR.dwdata2$statistic[i]), df = 8, lower.tail = FALSE)
}
MMR.dwdata2$p.values = round(p.values, 3)
MMR.dwdata2$term = c("(Intercept)", "Sire Acclimation Temperature",
"Dam Acclimation Temperature", "Offspring Acclimation Temperature")
print(MMR.dwdata2) ## term estimate std.error statistic p.values
## 1 (Intercept) 5.97655289 0.03652341 163.636215 0.000
## 2 Sire Acclimation Temperature 0.10402494 0.04233018 2.457465 0.020
## 3 Dam Acclimation Temperature 0.02715208 0.02712690 1.000928 0.173
## 4 Offspring Acclimation Temperature -0.11767031 0.02718229 -4.328933 0.001MMR.dwdata2$estimate = MMR.dwdata2$estimate*20
MMR.dwdata2$std.error= MMR.dwdata2$std.error*20
MMR.dwdata2 %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() + theme(legend.position = "none") + my.theme.dw +
xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = "cornflowerblue") + scale_colour_manual(values = "black") +
scale_x_continuous(limits = c(-5.0,5.0), breaks = c(-5.0, -2.5, 0, 2.5, 5.0), label = c("-0.25", "-0.13", "0", "0.13", "0.25")) +
annotate("text", x = -4.0, y = 1.4, label = paste("p = ", MMR.dwdata2$p.value[4])) +
annotate("text", x = 2.5, y = 2.3, label = paste("p = ", MMR.dwdata2$p.value[3])) +
annotate("text", x = 4.5, y = 3.2, label = paste("p = ", MMR.dwdata2$p.value[2]))
MMR.dwdata2$estimate = MMR.dwdata2$estimate/20
MMR.dwdata2$std.error= MMR.dwdata2$std.error/20###Testing Model Assumptions for Maximum Metabolic Rate Models: Model 3.
MMR.MS.m3 = lmer(log(MMR.MS) ~ Offspring.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = MMR.MS.Data)
summary(MMR.MS.m3)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.000000
## Father.ID (Intercept) 0.060574
## Residual 0.202140# Similar to model 1, maternal ID explains zero variance.
Res.Alone.m3 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m3, type = "deviance")),
aes(x = 1:nrow(MMR.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m3 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m3), "Fit" = predict(MMR.MS.m3)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m3 = ggplot(data = data.frame("Res" = residuals(MMR.MS.m3), "Resp" = log(MMR.MS.Data$MMR.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m3 = ggplot(data.frame("Res" = residuals(MMR.MS.m3), "Fit" = predict(MMR.MS.m3)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m3, Res.by.Fit.m3, Res.by.Resp.m3, QQNorm.1.m3, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
## Right residual tail persists.
qqPlot(residuals(MMR.MS.m3, type = "deviance"), ylab = "Deviance Residuals")
## 170 86
## 167 84r.squaredGLMM(MMR.MS.m3)## R2m R2c
## [1,] 0.07304761 0.149428# Histogram of residuals?
ggplot(data.frame(Res = c(residuals(MMR.MS.m3, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.3/8 * ..count..))
# Further subtle bimodality.
MMR.Off.Hist = ggplot(data.frame(Res = c(residuals(MMR.MS.m3, type = "deviance")),
Off.Acc = MMR.MS.Data$Offspring.Acc),
aes(Res, fill = Off.Acc, colour = Off.Acc)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Pearson Residuals") + ylab("Count") + scale_fill_manual(values =
c("mediumorchid", "royalblue")) + scale_colour_manual(values = c("black", "black")) +
geom_vline(xintercept = mean(residuals(MMR.MS.m3, type = "deviance")), linetype="dashed", size = 1) +
theme(legend.position = "top")
MMR.Pat.Hist = ggplot(data.frame(Res = c(residuals(MMR.MS.m3, type = "deviance")),
Pat.Acc = MMR.MS.Data$Father.Acc),
aes(Res, fill = Pat.Acc, colour = Pat.Acc)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Pearson Residuals") + ylab("Count") + scale_fill_manual(values =
c("mediumorchid", "royalblue")) + scale_colour_manual(values = c("black", "black")) +
geom_vline(xintercept = mean(residuals(MMR.MS.m3, type = "deviance")), linetype="dashed", size = 1) +
theme(legend.position = "top")
MMR.PG.Hist = ggplot(data.frame(Res = c(residuals(MMR.MS.m3, type = "deviance")),
PG = as.factor(MMR.MS.Data$Parent.group)),
aes(Res, fill = PG, colour = PG)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Pearson Residuals") + ylab("Count") + scale_fill_manual(values =
c("mediumorchid", "royalblue", "mediumseagreen", "gold2")) +
scale_colour_manual(values = c("black", "black", "black", "black")) +
geom_vline(xintercept = mean(residuals(MMR.MS.m3, type = "deviance")), linetype="dashed", size = 1) +
theme(legend.position = "top")
grid.arrange(MMR.Off.Hist, MMR.Pat.Hist, MMR.PG.Hist, nrow = 1, top =
"Mass Specific Maximum Metabolic Rate Residuals Histograms")
## Oddly bimodal accross all groups, though seemingly worse in cold father treatment.
## Exploring parameter-specific heteroskedasticity
MMR.All.Res = ggplot(data = MMR.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(MMR.MS.m3, "deviance"), fill = as.factor(Offspring.Acc))) +
my.theme + theme_bw() + geom_boxplot(lwd=1) + scale_fill_manual(values=c("ivory",
"royalblue3")) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals") +
theme(legend.position="top")
# Residuals appear evenly dispersed between groups
# Model result plots
MMR.dwdata3 = data.frame(term = c(rownames(summary(MMR.MS.m3)$coefficients)),
estimate = c(summary(MMR.MS.m3)$coefficients[1:2]),
std.error = c(summary(MMR.MS.m3)$coefficients[3:4]),
statistic = c(summary(MMR.MS.m3)$coefficients[5:6]))
p.values = c()
for (i in 1:nrow(MMR.dwdata3)){
p.values[i] = pt(abs(MMR.dwdata3$statistic[i]), df = 8, lower.tail = FALSE)
}
MMR.dwdata3$p.values = round(p.values, 3)
MMR.dwdata3$term = c("(Intercept)", "Offspring Acclimation Temperature")
MMR.dwdata3$estimate = MMR.dwdata3$estimate*20
MMR.dwdata3$std.error= MMR.dwdata3$std.error*20
MMR.dwdata3 %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() + theme(legend.position = "none") +
my.theme.dw +
xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = "mediumseagreen") + scale_colour_manual(values = "black") +
scale_x_continuous(limits = c(-6.0,6.0), breaks = c(-6.0, -3.0, 0, 3.0, 6.0),
label = c("-0.30", "-0.15","0", "0.15", "0.30")) +
annotate("text", x = -5.0, y = 1.5, label = paste("p =\n", MMR.dwdata3$p.value[2]))
MMR.dwdata3$estimate = MMR.dwdata3$estimate/20
MMR.dwdata3$std.error= MMR.dwdata3$std.error/20Overlaying MMR model plots
MMR.dwdata = MMR.dwdata %>% mutate(model = "Model 1")
MMR.dwdata2 = MMR.dwdata2 %>% mutate(model = "Model 2")
MMR.dwdata3 = MMR.dwdata3 %>% mutate(model = "Model 3")
MMR.MS.Models = rbind(MMR.dwdata, MMR.dwdata2, MMR.dwdata3)
MMR.MS.Models$estimate = MMR.MS.Models$estimate*20
MMR.MS.Models$std.error = MMR.MS.Models$std.error*20
MMR.MS.Models %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() +
theme(legend.justification = c(-6.0,-0.1),
legend.position = c(0,0.01)) + my.theme.dw + xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0,
colour = "black", linetype = 2) + scale_fill_manual(values =
c("mediumseagreen", "mediumorchid", "cornflowerblue")) +
scale_colour_manual(values = c("black", "black", "black")) + scale_x_continuous(limits = c(-6.0,6.0),
breaks = c(-6.0, -3.0, 0, 3.0, 6.0), label = c("-0.30", "-0.15", "0", "0.15", "0.30"))
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Mass Specific Maximum Metabolic Rate Model Comparisons.jpeg", dpi = 800, limitsize = TRUE)
MMR.MS.Models$estimate = MMR.MS.Models$estimate/20
MMR.MS.Models$std.error = MMR.MS.Models$std.error/20
MMR.Fit.m1 = data.frame("Response" = c(log(MMR.MS.Data$MMR.MS)), "Fit" = c(predict(MMR.MS.m1)))
MMR.Fit.m2 = data.frame("Response" = c(log(MMR.MS.Data$MMR.MS)), "Fit" = c(predict(MMR.MS.m2)))
MMR.Fit.m3 = data.frame("Response" = c(log(MMR.MS.Data$MMR.MS)), "Fit" = c(predict(MMR.MS.m3)))
MMR.Fit.m1 = MMR.Fit.m1 %>% mutate(model = "Model 1")
MMR.Fit.m2 = MMR.Fit.m2 %>% mutate(model = "Model 2")
MMR.Fit.m3 = MMR.Fit.m3 %>% mutate(model = "Model 3")
MMR.Fit.All = rbind(MMR.Fit.m1, MMR.Fit.m2, MMR.Fit.m3)
MMR.Fits = ggplot(data = MMR.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted log Mass Specific Maximum Metabolic Rate") +
ylab("Measured log Mass Specific \n Maximum Metabolic Rate") +
scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(MMR.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/log Mass Specific Maximum Metabolic Rate Fit Comparisons - AICc.jpeg", dpi = 800, limitsize = TRUE)##Mass Specific Model Assessment ###Testing Model Assumptions for Absolute Aerobic Scope Models: Model 1.
AAS.MS.m1 = lmer(log(AAS.MS) ~ Offspring.Acc + (1|Mother.ID) +
(1|Father.ID), REML = FALSE, data = AAS.MS.Data)
summary(AAS.MS.m1)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.00000
## Residual 0.29537# Interestign. Zero variance explained by either random intercept.
Res.Alone.m1 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m1, type = "deviance")),
aes(x = 1:nrow(AAS.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m1 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m1), "Fit" = predict(AAS.MS.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m1 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m1), "Resp" = log(AAS.MS.Data$AAS.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m1 = ggplot(data.frame("Res" = residuals(AAS.MS.m1), "Fit" = predict(AAS.MS.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m1, Res.by.Fit.m1, Res.by.Resp.m1, QQNorm.1.m1, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
## Awfully course, but fair residuals. Double-checking normality.
qqPlot(residuals(AAS.MS.m1, type = "deviance"), ylab = "Deviance Residuals")
## 172 83
## 129 63 # Reasonable
r.squaredGLMM(AAS.MS.m1)## R2m R2c
## [1,] 0.06030224 0.06030224# As expected. Remarkably low.
# No clear rationale to test variance structure. Calculating p-values.
AAS.dwdata1 = data.frame(term = c(rownames(summary(AAS.MS.m1)$coefficients)),
estimate = c(summary(AAS.MS.m1)$coefficients[1:2]),
std.error = c(summary(AAS.MS.m1)$coefficients[3:4]),
statistic = c(summary(AAS.MS.m1)$coefficients[5:6]))
p.values = c()
for (i in 1:nrow(AAS.dwdata1)){
p.values[i] = pt(abs(AAS.dwdata1$statistic[i]), df = 8, lower.tail = FALSE)
}
AAS.dwdata1$p.values = round(p.values, 3)
AAS.dwdata1$term = c("(Intercept)",
"Offspring Acclimation Temperature")
print(AAS.dwdata1)## term estimate std.error statistic p.values
## 1 (Intercept) 5.5645121 0.03302392 168.499417 0.000
## 2 Offspring Acclimation Temperature -0.1494679 0.04538704 -3.293184 0.005###Testing Model Assumptions for Absolute Aerobic Scope Models: Model 2.
AAS.MS.m2 = lmer(log(AAS.MS) ~ Mother.Acc + Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = AAS.MS.Data)
summary(AAS.MS.m2)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.0000
## Father.ID (Intercept) 0.0000
## Residual 0.2949# Again, Father ID and Mother ID alone explained zero residual variance.
Res.Alone.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m2, type = "deviance")),
aes(x = 1:nrow(AAS.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m2), "Fit" = predict(AAS.MS.m2)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m2), "Resp" = log(AAS.MS.Data$AAS.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m2 = ggplot(data.frame("Res" = residuals(AAS.MS.m2), "Fit" = predict(AAS.MS.m2)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m2, Res.by.Fit.m2, Res.by.Resp.m2, QQNorm.1.m2, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
## Residuals similar to model 1, with slight right tail.
qqPlot(residuals(AAS.MS.m2, type = "deviance"), ylab = "Deviance Residuals")
## 172 83
## 129 63# As above.
# Parameter-specific heteroskedasticity
{
DamT.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Mother.Acc),
y = residuals(AAS.MS.m2, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(AAS.MS.m2, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(AAS.MS.m2, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(residuals(AAS.MS.m2, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
Off.by.Dam.T.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(AAS.MS.m2, type = "pearson"), fill = Mother.Acc)) +
my.theme + theme_bw() + geom_boxplot() + scale_fill_manual(values = c("mediumorchid",
"mediumseagreen")) + xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals") +
theme(legend.position = "top")
}
grid.arrange(DamT.Res, OffT.Res, Off.by.Dam.T.Res, nrow = 1,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
# Probable offspring by maternal heteroskedasticity.
AAS.MS.m2.2 = lme(log(AAS.MS) ~ Mother.Acc + Offspring.Acc, random = list(~1|Mother.ID, ~1|Father.ID),
weights = varIdent(form = ~Offspring.Acc|Mother.Acc), data = AAS.MS.Data)
lapply(list(AAS.MS.m2, AAS.MS.m2.2), r.squaredGLMM)## [[1]]
## R2m R2c
## [1,] 0.06331924 0.06331924
##
## [[2]]
## R2m R2c
## [1,] 0.06904318 0.06904318 # Negligable variance gained. Maintaining first model.
# Calculating p-values
AAS.dwdata2 = data.frame(term = c(rownames(summary(AAS.MS.m2)$coefficients)),
estimate = c(summary(AAS.MS.m2)$coefficients[1:3]),
std.error = c(summary(AAS.MS.m2)$coefficients[4:6]),
statistic = c(summary(AAS.MS.m2)$coefficients[7:9]))
p.values = c()
for (i in 1:nrow(AAS.dwdata2)){
p.values[i] = pt(abs(AAS.dwdata2$statistic[i]), df = 8, lower.tail = FALSE)
}
AAS.dwdata2$p.values = round(p.values, 3)
AAS.dwdata2$term = c("(Intercept)", "Dam Acclimation Temperature",
"Offspring Acclimation Temperature")
print(AAS.dwdata2) ## term estimate std.error statistic p.values
## 1 (Intercept) 5.54564357 0.04172416 132.9120402 0.000
## 2 Dam Acclimation Temperature 0.03354401 0.04545720 0.7379251 0.241
## 3 Offspring Acclimation Temperature -0.14848951 0.04533392 -3.2754615 0.006###Testing Model Assumptions for Absolute Aerobic Scope Models: Model 3.
AAS.MS.m3 = lmer(log(AAS.MS) ~ Father.Acc + Offspring.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = AAS.MS.Data)
summary(AAS.MS.m3)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.00000
## Residual 0.29495# Father ID alone explained zero variance.
# Residual plots
Res.Alone.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m3, type = "deviance")),
aes(x = 1:nrow(AAS.MS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m3), "Fit" = predict(AAS.MS.m3)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m2 = ggplot(data = data.frame("Res" = residuals(AAS.MS.m3), "Resp" = log(AAS.MS.Data$AAS.MS)),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m2 = ggplot(data.frame("Res" = residuals(AAS.MS.m3), "Fit" = predict(AAS.MS.m3)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m3, Res.by.Fit.m3, Res.by.Resp.m3, QQNorm.1.m3, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
## Residuals straying.
qqPlot(residuals(AAS.MS.m3, type = "deviance"), ylab = "Deviance Residuals")
## 172 83
## 129 63 # Okay, still within range.
r.squaredGLMM(AAS.MS.m3)## R2m R2c
## [1,] 0.06304827 0.06304827# As low as previous two models.
{
PatT.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Father.Acc),
y = residuals(AAS.MS.m2, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(AAS.MS.m2, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(AAS.MS.m2, "deviance"))) + my.theme + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(residuals(AAS.MS.m2, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
Off.by.Pat.T.Res = ggplot(data = AAS.MS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(AAS.MS.m2.2, type = "pearson"), fill = Father.Acc)) +
my.theme + theme_bw() + geom_boxplot() + scale_fill_manual(values = c("mediumorchid",
"mediumseagreen")) + xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals") +
theme(legend.position = "top")
}
grid.arrange(PatT.Res, OffT.Res, Off.by.Pat.T.Res, nrow = 1,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
## No cause for concern.
# Model result plots
AAS.dwdata3 = data.frame(term = c(rownames(summary(AAS.MS.m3)$coefficients)),
estimate = c(summary(AAS.MS.m3)$coefficients[1:3]),
std.error = c(summary(AAS.MS.m3)$coefficients[4:6]),
statistic = c(summary(AAS.MS.m3)$coefficients[7:9]))
p.values = c()
for (i in 1:nrow(AAS.dwdata3)){
p.values[i] = pt(abs(AAS.dwdata3$statistic[i]), df = 8, lower.tail = FALSE)
}
AAS.dwdata3$p.values = round(p.values, 3)
AAS.dwdata3$term = c("(Intercept)", "Sire Acclimation Temperature",
"Offspring Acclimation Temperature")
## Little reason to overlap model outputs, given small number of fixed effects in each.
AAS.dwdata1 = AAS.dwdata1 %>% mutate(model = "Model 1")
AAS.dwdata2 = AAS.dwdata2 %>% mutate(model = "Model 2")
AAS.dwdata3 = AAS.dwdata3 %>% mutate(model = "Model 3")
AAS.MS.Models = rbind(AAS.dwdata1, AAS.dwdata2, AAS.dwdata3)
AAS.Fit.m1 = data.frame("Response" = c(log(AAS.MS.Data$AAS.MS)), "Fit" = c(predict(AAS.MS.m1)))
AAS.Fit.m2 = data.frame("Response" = c(log(AAS.MS.Data$AAS.MS)), "Fit" = c(predict(AAS.MS.m2)))
AAS.Fit.m3 = data.frame("Response" = c(log(AAS.MS.Data$AAS.MS)), "Fit" = c(predict(AAS.MS.m3)))
AAS.Fit.m1 = AAS.Fit.m1 %>% mutate(model = "Model 1")
AAS.Fit.m2 = AAS.Fit.m2 %>% mutate(model = "Model 2")
AAS.Fit.m3 = AAS.Fit.m3 %>% mutate(model = "Model 3")
AAS.Fit.All = rbind(AAS.Fit.m1, AAS.Fit.m2, AAS.Fit.m3)
AAS.Fits = ggplot(data = AAS.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted log Absolute Aerobic Scope") +
ylab("Measured log Absolute \n Aerobic Scope") + scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(AAS.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Absolute Aerobic Scope Model Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)##Non-Mass Specific Model Assessment ###Testing Model Assumptions for Criticial Thermal Maximum: Model 1.
## First assessing response by predictors;
{
PatT.CTM = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = CTM)) + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(CTM))) +
xlab("Sire Acclimation Temperature") + ylab("Critical Thermal Maximum \n (Degrees C)")
DamT.CTM = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Mother.Acc),
y = CTM)) + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(CTM))) +
xlab("Dam Acclimation Temperature") + ylab("Critical Thermal Maximum \n (Degrees C)")
OffT.CTM = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Offspring.Acc),
y = CTM)) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(CTM))) +
xlab("Offspring Acclimation Temperature") + ylab("Critical Thermal Maximum \n (Degrees C)")
Pat.by.CTM1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = CTM, fill = Offspring.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() +
scale_fill_manual(values = c("mediumorchid", "royalblue")) +
xlab("Sire Acclimation Temperature") + ylab("Critical Thermal Maximum \n (Degrees C)")
Pat.by.CTM2 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = CTM, fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumseagreen",
"royalblue")) + xlab("Sire Acclimation Temperature") + ylab("Critical Thermal Maximum \n (Degrees C)")
Off.by.CTM = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Offspring.Acc),
y = CTM, fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumorchid",
"mediumseagreen")) + xlab("Offspring Acclimation Temperature") +
ylab("Critical Thermal Maximum \n (Degrees C)")
}
grid.arrange(PatT.CTM, DamT.CTM, OffT.CTM, Pat.by.CTM1, Pat.by.CTM2,
Off.by.CTM, nrow = 2,
top = "Fixed Effects by Response: Boxplot Bars Represent Means") 
## MODEL
CTM.m1 = lmer(CTM ~ Father.Acc + Mother.Acc + Offspring.Acc + Father.Acc:Mother.Acc +
Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc +
Father.Acc:Mother.Acc:Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, weights = Mass, data = CTM.NMS.Data)
summary(CTM.m1)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 2.0348e-02
## Father.ID (Intercept) 9.7330e-09
## Residual 4.0160e-01## Paternal ID dropping from model.
Res.Alone.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1, type = "deviance")),
aes(x = 1:nrow(CTM.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1), "Fit" = predict(CTM.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1), "Resp" = CTM.NMS.Data$CTM),
aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m1 = ggplot(data.frame("Res" = residuals(CTM.m1), "Fit" = predict(CTM.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone.m1, Res.by.Fit.m1, Res.by.Resp.m1, QQNorm.1.m1, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
qqPlot(residuals(CTM.m1, type = "deviance"), ylab = "Deviance Residuals")
## 102 14
## 97 14 # Some low end deviation.
CTM.m1.res = data.frame("Model" = "Model1", "Res" = c(residuals(CTM.m1, type = "deviance")))
ggplot(CTM.m1.res, aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("mediumseagreen")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.1 * ..count..))
# Reasonable!
## Assessing parameter-specific patterns.
{
PatT.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = residuals(CTM.m1, "deviance"))) + theme_bw() +
geom_boxplot(fill = "mediumorchid", aes(middle = mean(residuals(CTM.m1, "deviance")))) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
DamT.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Mother.Acc),
y = residuals(CTM.m1, "deviance"))) + theme_bw() +
geom_boxplot(fill = "mediumseagreen", aes(middle = mean(residuals(CTM.m1, "deviance")))) +
xlab("Dam Acclimation Temperature") + ylab("Deviance Residuals")
OffT.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(CTM.m1, "deviance"))) + theme_bw() +
geom_boxplot(fill = "royalblue", aes(middle = mean(residuals(CTM.m1, "deviance")))) +
xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
Pat.by.Off.T.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = residuals(CTM.m1, type = "deviance"), fill = Offspring.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() +
scale_fill_manual(values = c("mediumorchid", "royalblue")) +
xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
Pat.by.Dam.T.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Father.Acc),
y = residuals(CTM.m1, type = "deviance"), fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumseagreen",
"royalblue")) + xlab("Sire Acclimation Temperature") + ylab("Deviance Residuals")
Off.by.Dam.T.Res.m1 = ggplot(data = CTM.NMS.Data, aes(x = as.factor(Offspring.Acc),
y = residuals(CTM.m1, type = "deviance"), fill = Mother.Acc)) + theme_bw() +
theme(legend.position = "top") + geom_boxplot() + scale_fill_manual(values = c("mediumorchid",
"mediumseagreen")) + xlab("Offspring Acclimation Temperature") + ylab("Deviance Residuals")
}
grid.arrange(PatT.Res.m1, DamT.Res.m1, OffT.Res.m1, Pat.by.Off.T.Res.m1, Pat.by.Dam.T.Res.m1,
Off.by.Dam.T.Res.m1, nrow = 2,
top = "Fixed Effects by Residuals: Boxplot Bars Represent Means") 
# Possible sire by offspring heteroskedasticity. Retrying model with constant variance per group.
CTM.m1.1 = lme(CTM ~ Father.Acc + Mother.Acc + Offspring.Acc + Father.Acc:Mother.Acc +
Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc +
Father.Acc:Mother.Acc:Offspring.Acc, random = list(~1|Mother.ID, ~1|Father.ID),
weights = ~Mass, data = CTM.NMS.Data)
CTM.m1.2 = lme(CTM ~ Father.Acc + Mother.Acc + Offspring.Acc + Father.Acc:Mother.Acc +
Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc +
Father.Acc:Mother.Acc:Offspring.Acc, random = list(~1|Mother.ID, ~1|Father.ID),
weights = varIdent(form = ~Mass|Father.Acc*Offspring.Acc), data = CTM.NMS.Data)
summary(CTM.m1.1)$AIC/summary(CTM.m1.2)$AIC## [1] 6.157988 # Wow! Significant improvement in AIC. Residuals?
Res.Alone.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1.2, type = "normalized")),
aes(x = 1:nrow(CTM.NMS.Data), y = Res)) + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1.2, type = "normalized"),
"Fit" = predict(CTM.m1.2)), aes(x = Fit, y = Res)) + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m1 = ggplot(data = data.frame("Res" = residuals(CTM.m1.2, type = "normalized"),
"Resp" = CTM.NMS.Data$CTM), aes(x = Resp, y = Res)) + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m1 = ggplot(data.frame("Res" = residuals(CTM.m1.2, type = "normalized"),
"Fit" = predict(CTM.m1.2)), aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() +
theme_bw()
grid.arrange(Res.Alone.m1, Res.by.Fit.m1, Res.by.Resp.m1, QQNorm.1.m1, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
# Far cleaner. Double-checking confidence intervals.
qqPlot(residuals(CTM.m1.2, type = "normalized"), ylab = "Normalized Residuals")
## 1/3 1/3
## 154 161 # Well enough behaved! Re-testing AIC with new variance structure.
CTM.model = lme(CTM ~ Mother.Acc*Father.Acc*Offspring.Acc + Mass, random = list(~1|Mother.ID, ~1|Father.ID),
weights = varIdent(~Mass|Father.Acc*Offspring.Acc), data = CTM.NMS.Data)
subset(dredge(CTM.model, rank = "AICc"), delta <= 10.0)## Global model call: lme.formula(fixed = CTM ~ Mother.Acc * Father.Acc * Offspring.Acc +
## Mass, data = CTM.NMS.Data, random = list(~1 | Mother.ID,
## ~1 | Father.ID), weights = varIdent(~Mass | Father.Acc *
## Offspring.Acc))
## ---
## Model selection table
## (Int) Fth.Acc Mss Mth.Acc Off.Acc Fth.Acc:Mth.Acc Fth.Acc:Off.Acc
## 9 28.57 +
## 77 28.48 + +
## 13 28.54 + +
## 10 28.58 + +
## 11 28.55 0.006388 +
## 42 28.61 + + +
## 254 28.55 + + + + +
## 78 28.49 + + +
## Mth.Acc:Off.Acc Fth.Acc:Mth.Acc:Off.Acc df logLik AICc delta weight
## 9 5 -19.117 48.5 0.00 0.732
## 77 + 7 -18.799 52.1 3.62 0.120
## 13 6 -20.346 53.1 4.57 0.074
## 10 6 -21.229 54.9 6.34 0.031
## 11 6 -21.911 56.2 7.70 0.016
## 42 7 -21.076 56.7 8.17 0.012
## 254 + + 11 -16.910 57.1 8.59 0.010
## 78 + 8 -20.892 58.5 9.96 0.005
## Models ranked by AICc(x)
## Random terms (all models):
## '1 | Mother.ID', '1 | Father.ID %in% Mother.ID'##Re-calculating AICs for Model Iterations: Criticial Thermal Maximum.
AIC.Results.CTM1 = subset(dredge(CTM.model, rank = "AICc",
extra = list(R2 = function(x) r.squaredGLMM(x))), delta < 10)
Select.Models.CTM = c()
Delta.NMS = c()
Response = c()
Marg.R2 = c()
Cond.R2 = c()
Select.Models.CTM1 = gsub("[[:space:]].*", "", gsub(".*~ ", "", paste(attr(AIC.Results.CTM1, "model.calls")[[1]])[2]))
Delta.CTM1 = AIC.Results.CTM1$delta[1]
Response = gsub(" ~.*", "", paste(attr(AIC.Results.CTM1, "model.calls")[[1]])[2])
Marg.R2 = AIC.Results.CTM1$R21[1]
Cond.R2 = AIC.Results.CTM1$R22[1]
Table = data.frame("Reponse.Type" = "Mass Independant", "Response" = Response,
"Delta.AIC" = Delta.CTM1, "Marginal.R2" = Marg.R2, "Conditional.R2" = Cond.R2,
"Equation" = Select.Models.CTM1)
assign(paste("AIC.Selection", "NMS", 4, sep = "_"), Table)
# Stacking all top models
AIC.Selection.NMS = rbind(AIC.Selection_NMS_1, AIC.Selection_NMS_2, AIC.Selection_NMS_3, AIC.Selection_NMS_4)
AIC.Selection = rbind(AIC.Selection.MS, AIC.Selection.NMS)
print(AIC.Selection, right = F)## Reponse.Type Response Delta.AIC Marginal.R2 Conditional.R2
## 1 Mass-Specific log(RMR.MS) 0.0000000 0.096893406 0.232585377
## 2 Mass-Specific log(RMR.MS) 0.4320103 0.053173310 0.240437710
## 3 Mass-Specific log(RMR.MS) 1.2633111 0.119499835 0.229420583
## 4 Mass-Specific log(RMR.MS) 1.6197476 0.076527651 0.233321010
## 5 Mass-Specific log(RMR.MS) 2.1592505 0.096883830 0.232579539
## 6 Mass-Specific log(RMR.MS) 3.4158810 0.119488586 0.228524187
## 7 Mass-Specific log(RMR.MS) 3.4339163 0.119662682 0.230781821
## 8 Mass-Specific log(RMR.MS) 3.4465742 0.119498539 0.229415547
## 9 Mass-Specific log(RMR.MS) 3.7625995 0.076639665 0.234918266
## 10 Mass-Specific log(RMR.MS) 5.6133294 0.119635050 0.229813129
## 11 Mass-Specific log(RMR.MS) 5.6233967 0.119487860 0.228511664
## 12 Mass-Specific log(RMR.MS) 5.6416400 0.119663749 0.230793240
## 13 Mass-Specific log(RMR.MS) 7.8457075 0.119636994 0.229817526
## 14 Mass-Specific log(RMR.MS) 9.2054714 0.123544421 0.234261527
## 15 Mass-Specific log(RMR.MS) 9.6359036 0.042108328 0.147303133
## 16 Mass-Specific log(MMR.MS) 0.0000000 0.120819398 0.142015628
## 17 Mass-Specific log(MMR.MS) 1.1337870 0.124820634 0.147076069
## 18 Mass-Specific log(MMR.MS) 1.6198084 0.073047609 0.149428049
## 19 Mass-Specific log(MMR.MS) 1.6632302 0.122837064 0.145818385
## 20 Mass-Specific log(MMR.MS) 2.7260488 0.077010507 0.155635207
## 21 Mass-Specific log(MMR.MS) 2.7981663 0.126409532 0.147141163
## 22 Mass-Specific log(MMR.MS) 2.8091275 0.126874372 0.150942976
## 23 Mass-Specific log(MMR.MS) 3.1451250 0.125299705 0.147122991
## 24 Mass-Specific log(MMR.MS) 4.4679396 0.078296179 0.155626011
## 25 Mass-Specific log(MMR.MS) 4.5445400 0.128233974 0.150738011
## 26 Mass-Specific log(MMR.MS) 4.7897724 0.127036217 0.147226264
## 27 Mass-Specific log(MMR.MS) 4.8318359 0.127376227 0.151009093
## 28 Mass-Specific log(MMR.MS) 6.5494559 0.128872410 0.150797081
## 29 Mass-Specific log(MMR.MS) 8.6127708 0.129301148 0.149887552
## 30 Mass-Specific log(AAS.MS) 0.0000000 0.060302235 0.060302235
## 31 Mass-Specific log(AAS.MS) 1.6058206 0.063319235 0.063319235
## 32 Mass-Specific log(AAS.MS) 1.6547206 0.063048269 0.063048269
## 33 Mass-Specific log(AAS.MS) 2.7150419 0.069211046 0.069211046
## 34 Mass-Specific log(AAS.MS) 3.2960644 0.066006761 0.066006761
## 35 Mass-Specific log(AAS.MS) 3.8171171 0.063123771 0.063123771
## 36 Mass-Specific log(AAS.MS) 4.4085037 0.072012289 0.072012289
## 37 Mass-Specific log(AAS.MS) 5.2780560 0.067227194 0.067227194
## 38 Mass-Specific log(AAS.MS) 5.4877412 0.066069601 0.066069601
## 39 Mass-Specific log(AAS.MS) 6.3908730 0.073373700 0.073373700
## 40 Mass-Specific log(AAS.MS) 6.6248050 0.072090713 0.072090713
## 41 Mass-Specific log(AAS.MS) 7.4941599 0.067307113 0.067307113
## 42 Mass-Specific log(AAS.MS) 8.3897446 0.000000000 0.000000000
## 43 Mass-Specific log(AAS.MS) 8.6315027 0.073472445 0.073472445
## 44 Mass-Specific log(AAS.MS) 9.8600456 0.003857163 0.003857163
## 45 Mass Independant log(RMR) 0.0000000 0.133984899 0.187297773
## 46 Mass Independant log(RMR) 1.2602254 0.141776312 0.205374533
## 47 Mass Independant log(RMR) 1.6073708 0.150429756 0.217648435
## 48 Mass Independant log(RMR) 1.6474074 0.128699092 0.173080515
## 49 Mass Independant log(RMR) 2.7321064 0.132748636 0.170710975
## 50 Mass Independant log(RMR) 2.8878776 0.135787938 0.190074963
## 51 Mass Independant log(RMR) 3.2743628 0.144635226 0.202897141
## 52 Mass Independant log(RMR) 4.0588194 0.140009483 0.188800811
## 53 Mass Independant log(RMR) 4.0950899 0.099888733 0.216120581
## 54 Mass Independant log(RMR) 4.5640317 0.148063744 0.200173714
## 55 Mass Independant log(RMR) 4.8488012 0.139278802 0.198212673
## 56 Mass Independant log(RMR) 5.0625559 0.110898124 0.246417343
## 57 Mass Independant log(RMR) 5.2947376 0.147628464 0.209939254
## 58 Mass Independant log(RMR) 5.5675794 0.093682927 0.198157075
## 59 Mass Independant log(RMR) 6.0925789 0.142859278 0.195183515
## 60 Mass Independant log(RMR) 6.4945585 0.101711516 0.224066355
## 61 Mass Independant log(RMR) 6.6513777 0.150652261 0.206487915
## 62 Mass Independant log(RMR) 8.3512657 0.104532707 0.233419043
## 63 Mass Independant log(RMR) 8.6324400 0.150978522 0.206358093
## 64 Mass Independant log(MMR) 0.0000000 0.369204428 0.371864266
## 65 Mass Independant log(MMR) 0.5548350 0.379425977 0.386493764
## 66 Mass Independant log(MMR) 0.6787176 0.369634153 0.369634153
## 67 Mass Independant log(MMR) 0.7216353 0.375106754 0.379281757
## 68 Mass Independant log(MMR) 0.8325546 0.375573418 0.377046113
## 69 Mass Independant log(MMR) 1.2075921 0.385680917 0.394550417
## 70 Mass Independant log(MMR) 1.3053415 0.373890912 0.373984540
## 71 Mass Independant log(MMR) 1.4075558 0.380198320 0.382605826
## 72 Mass Independant log(MMR) 2.6399397 0.376765576 0.379010103
## 73 Mass Independant log(MMR) 3.2056969 0.381486629 0.384726037
## 74 Mass Independant log(MMR) 3.2512482 0.374441840 0.374441840
## 75 Mass Independant log(MMR) 3.3253542 0.385438581 0.393927233
## 76 Mass Independant log(MMR) 3.3308469 0.380825663 0.383007187
## 77 Mass Independant log(MMR) 3.5169143 0.380270351 0.382249352
## 78 Mass Independant log(MMR) 5.1302226 0.382164903 0.385183875
## 79 Mass Independant log(MMR) 5.3559491 0.381511403 0.384372428
## 80 Mass Independant log(MMR) 5.4417725 0.380933265 0.382619852
## 81 Mass Independant log(MMR) 7.2855769 0.382215205 0.384786410
## 82 Mass Independant log(MMR) 7.8733692 0.386191961 0.386782126
## 83 Mass Independant AAS 0.0000000 0.379306754 0.379306754
## 84 Mass Independant AAS 1.5094369 0.381744663 0.381744663
## 85 Mass Independant AAS 2.1236991 0.379498459 0.379498459
## 86 Mass Independant AAS 2.6531066 0.385599404 0.385599404
## 87 Mass Independant AAS 3.6519021 0.381965771 0.381965771
## 88 Mass Independant AAS 4.3197068 0.379524264 0.379524264
## 89 Mass Independant AAS 4.8437724 0.385744203 0.385744203
## 90 Mass Independant AAS 5.1677514 0.351902531 0.351902531
## 91 Mass Independant AAS 5.5495969 0.383179239 0.383179239
## 92 Mass Independant AAS 5.8765842 0.381987328 0.381987328
## 93 Mass Independant AAS 6.6565265 0.354426090 0.354426090
## 94 Mass Independant AAS 6.7438725 0.387043061 0.387043061
## 95 Mass Independant AAS 7.0961929 0.385766785 0.385766785
## 96 Mass Independant AAS 7.1765895 0.352440551 0.352440551
## 97 Mass Independant AAS 7.7990045 0.383212887 0.383212887
## 98 Mass Independant AAS 8.7040291 0.354915814 0.354915814
## 99 Mass Independant AAS 9.0213227 0.387078480 0.387078480
## 100 Mass Independant CTM 0.0000000 0.468351559 0.508793017
## Equation
## 1 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 2 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 3 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 4 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 5 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 6 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 7 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 8 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 9 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 10 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 11 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 12 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 13 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 14 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 15 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 16 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 17 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 18 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 19 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 20 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 21 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 22 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 23 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 24 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 25 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 26 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 27 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 28 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 29 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 30 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 31 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 32 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 33 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 34 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 35 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 36 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 37 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 38 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 39 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 40 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 41 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 42 (1 | Mother.ID) + (1 | Father.ID)
## 43 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 44 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 45 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 46 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 47 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 48 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 49 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 50 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 51 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 52 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 53 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 54 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 55 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 56 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 57 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 58 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 59 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 60 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 61 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 62 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 63 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 64 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 65 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 66 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 67 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 68 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 69 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 70 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 71 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 72 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 73 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 74 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 75 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 76 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 77 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 78 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 79 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 80 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 81 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 82 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 83 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 84 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 85 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 86 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 87 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 88 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 89 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 90 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 91 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 92 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 93 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 94 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 95 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 96 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 97 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 98 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 99 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 100 Offspring.Accwrite.csv(AIC.Selection, "Model_Outputs_AICc.csv", row.names = FALSE)Reassessing Criticial Thermal Maximum: Model 1.
CTM.model.m1 = lme(CTM ~ Offspring.Acc, random = list(~1|Mother.ID, ~1|Father.ID),
weights = varIdent(~Mass|Father.Acc*Offspring.Acc), data = CTM.NMS.Data)
# Residual Plots
Res.Alone.m1 = ggplot(data = data.frame("Res" = residuals(CTM.model.m1, type = "normalized")),
aes(x = 1:nrow(CTM.NMS.Data), y = Res)) + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit.m1 = ggplot(data = data.frame("Res" = residuals(CTM.model.m1, type = "normalized"),
"Fit" = predict(CTM.model.m1)), aes(x = Fit, y = Res)) + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp.m1 = ggplot(data = data.frame("Res" = residuals(CTM.model.m1, type = "normalized"),
"Resp" = CTM.NMS.Data$CTM), aes(x = Resp, y = Res)) + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("log Mass Specific Metabolic Rate") + ylab("Deviance Residuals")
QQNorm.1.m1 = ggplot(data.frame("Res" = residuals(CTM.model.m1, type = "normalized"),
"Fit" = predict(CTM.model.m1)), aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() +
theme_bw()
grid.arrange(Res.Alone.m1, Res.by.Fit.m1, Res.by.Resp.m1, QQNorm.1.m1, nrow = 2, top =
"Mass Specific Resting Metabolic Rate Residuals")
qqPlot(residuals(CTM.model.m1, type = "normalized"), ylab = "Deviance Residuals")
## 1/1 3/3
## 14 89 r.squaredGLMM(CTM.model.m1)## R2m R2c
## [1,] 0.4683516 0.508793 # Surprisingly reasonable.
# Calculating P-values
CTM.dwdata1 = data.frame(term = c(names(summary(CTM.model.m1)$coefficients$fixed)),
estimate = c(summary(CTM.model.m1)$coefficients$fixed[1:2]),
std.error = c(summary(CTM.model.m1)$tTable[,2]),
statistic = c(summary(CTM.model.m1)$tTable[,4]))
p.values = c()
for (i in 1:nrow(CTM.dwdata1)){
p.values[i] = pt(abs(CTM.dwdata1$statistic[i]), df = 8, lower.tail = FALSE)
}
CTM.dwdata1$p.values = round(p.values, 3)
CTM.dwdata1$term = c("(Intercept)", "Offspring Acclimation Temperature")
# Plotting fitted model
CTM.Fits = ggplot(data = data.frame(Pred = c(predict(CTM.model.m1)), Resp = c(CTM.NMS.Data$CTM),
Model = "Mod1"),
aes(x = Pred, y = Resp, fill = Model, colour = Model)) + theme_bw() + my.theme +
geom_point(pch=21, size = 3, alpha = 0.5) + geom_smooth(method = "lm") +
xlab("Predicted Critical Thermal Maximum") + ylab("Measured Critical \n Thermal Maximum") +
scale_fill_manual(values = c("cornflowerblue")) + scale_colour_manual(values = c("black")) +
theme(legend.position = "none") + xlim(c(28.4,29.2))
print(CTM.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Critical Thermal Maximum Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)
CTM.Models = CTM.dwdata1 %>% mutate(model = "Model 1")##Almagamating Above Results.
require('plyr')
R2.Dataframe = ldply(lapply(list(RMR.MS.m1, RMR.MS.m2, RMR.MS.m3,
MMR.MS.m1, MMR.MS.m2, MMR.MS.m3,
AAS.MS.m1, AAS.MS.m2, AAS.MS.m3,
CTM.m1), r.squaredGLMM), data.frame)
RMRDF1 = subset(RMR.MS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[1,1])%>%
mutate("Conditional R2" = R2.Dataframe[1,2])%>%
mutate("AIC" = summary(RMR.MS.m1)$AICtab[1])
RMRDF2 = subset(RMR.MS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[2,1])%>%
mutate("Conditional R2" = R2.Dataframe[2,2]) %>%
mutate("AIC" = summary(RMR.MS.m2)$AICtab[1])
RMRDF3 = subset(RMR.MS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[3,1])%>%
mutate("Conditional R2" = R2.Dataframe[3,2])%>%
mutate("AIC" = summary(RMR.MS.m3)$AICtab[1])
RMRDF = rbind(RMRDF1, RMRDF2, RMRDF3)
RMRDF$Response = "log Resting Metabolic Rate"
RMRDF$Response = "log Resting Metabolic Rate"
RMRDF$Response = "log Resting Metabolic Rate"
MMRDF1 = subset(MMR.MS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[4,1])%>%
mutate("Conditional R2" = R2.Dataframe[4,2]) %>%
mutate("AIC" = summary(MMR.MS.m1)$AICtab[1])
MMRDF2 = subset(MMR.MS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[5,1])%>%
mutate("Conditional R2" = R2.Dataframe[5,2]) %>%
mutate("AIC" = summary(MMR.MS.m2)$AICtab[1])
MMRDF3 = subset(MMR.MS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[6,1])%>%
mutate("Conditional R2" = R2.Dataframe[6,2]) %>%
mutate("AIC" = summary(MMR.MS.m3)$AICtab[1])
MMRDF = rbind(MMRDF1, MMRDF2, MMRDF3)
MMRDF$Response = "log Maximum Metabolic Rate"
MMRDF$Response = "log Maximum Metabolic Rate"
MMRDF$Response = "log Maximum Metabolic Rate"
AASDF1 = subset(AAS.MS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[7,1])%>%
mutate("Conditional R2" = R2.Dataframe[7,2]) %>%
mutate("AIC" = summary(AAS.MS.m1)$AICtab[1])
AASDF2 = subset(AAS.MS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[8,1])%>%
mutate("Conditional R2" = R2.Dataframe[8,2]) %>%
mutate("AIC" = summary(AAS.MS.m2)$AICtab[1])
AASDF3 = subset(AAS.MS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[9,1])%>%
mutate("Conditional R2" = R2.Dataframe[9,2]) %>%
mutate("AIC" = summary(AAS.MS.m3)$AICtab[1])
AASDF = rbind(AASDF1, AASDF2, AASDF3)
AASDF$Response = "log Absolute Aerobic Scope"
AASDF$Response = "log Absolute Aerobic Scope"
AASDF$Response = "log Absolute Aerobic Scope"
CTMDF = subset(CTM.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[10,1])%>%
mutate("Conditional R2" = R2.Dataframe[10,2])%>%
mutate("AIC" = summary(CTM.m1)$AICtab[1])
CTMDF$Response = "Critical Thermal Maximum"
AllData = rbind(RMRDF, MMRDF, AASDF, CTMDF)
AllData = AllData %>% select("Response", "Model Number", "term", "estimate", "std.error", "statistic", "df",
"p.values", "AIC",
"Marginal R2", "Conditional R2")
colnames(AllData) = c("Response Variable", "Model Number", "Model Parameter", "Estimate (beta)", "Std.Error",
"T Statistic", "DF", "p",
"AIC", "Marginal R2", "Conditional R2")
write.csv(AllData, "Model Output Results.csv")###Testing Model Assumptions for Resting Metabic Rate: Model 1.
RMR.m1 = lmer(log(RMR) ~ log(Mass) + Mother.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = RMR.NMS.Data)
summary(RMR.m1)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 4.5652e-05
## Father.ID (Intercept) 1.1354e-01
## Residual 4.4331e-01# Minimal variance explained by random effects, but retained for comparability.
Res.Alone = ggplot(data = data.frame("Res" = residuals(RMR.m1, type = "deviance")),
aes(x = 1:nrow(RMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(RMR.m1), "Fit" = predict(RMR.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(RMR.m1), "Resp" =
log(RMR.NMS.Data$RMR)), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(RMR.m1), "Fit" = predict(RMR.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Resting Metabolic Rate Residuals") 
## Residuals likely non-normal. Slight high-end taper.
qqPlot(residuals(RMR.m1, type = "deviance"), ylab = "Deviance Residuals")
## 83 81
## 68 66 # Within confidence intervals, however. Histogram to confirm, below.
Resid.hist = ggplot(data.frame(Res = c(residuals(RMR.m1, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=1.0/9 * ..count..))
print(Resid.hist)
# Reasonable distribution. Plotting residuals by predictors.
Res.by.Mass = ggplot(data = data.frame("Mass" = RMR.NMS.Data$Mass,
"Res" = residuals(RMR.m1)), aes(x = Mass, y = Res, colour = as.factor(RMR.NMS.Data$Mother.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Dam Acclimation \nTemperature"))
Res.by.Dam = ggplot(data = data.frame("Dam" = as.factor(RMR.NMS.Data$Mother.Acc),
"Res" = residuals(RMR.m1)), aes(x = Dam, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme +
xlab("Dam Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
grid.arrange(Res.by.Mass, Res.by.Dam, nrow = 2, top =
"Resting Metabolic Rate Residuals") 
# Homoskedastic. Calculating p-values.
dwdata.RMR.NMS.m1 = data.frame(term = c(rownames(summary(RMR.m1)$coefficients)),
estimate = c(summary(RMR.m1)$coefficients[1:3]),
std.error = c(summary(RMR.m1)$coefficients[4:6]),
statistic = c(summary(RMR.m1)$coefficients[7:9]))
p.values.m1 = c()
for (i in 1:nrow(dwdata.RMR.NMS.m1)){
p.values.m1[i] = pt(abs(dwdata.RMR.NMS.m1$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.RMR.NMS.m1$p.values = round(p.values.m1, 3)
dwdata.RMR.NMS.m1$term = c("(Intercept)", "log Mass", "Dam Acclimation Temperature")###Testing Model Assumptions for Resting Metabic Rate: Model 2.
RMR.m2 = lmer(log(RMR) ~ log(Mass) + Offspring.Acc + Mother.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = RMR.NMS.Data)
summary(RMR.m2)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.12491
## Residual 0.44152# Maternal ID alone explaining zero variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(RMR.m2, type = "deviance")),
aes(x = 1:nrow(RMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(RMR.m2, type = "deviance"),
"Fit" = predict(RMR.m2)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(RMR.m2, type = "deviance"),
"Resp" = log(RMR.NMS.Data$RMR)), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(RMR.m2, type = "deviance"),
"Fit" = predict(RMR.m2)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Resting Metabolic Rate Residuals") 
## Residuals similar to model 1.
qqPlot(residuals(RMR.m2, type = "deviance"), ylab = "Deviance Residuals")
## 83 81
## 68 66 # Again, generally within confidence intervals.
Res.by.Mass = ggplot(data = data.frame("Mass" = RMR.NMS.Data$Mass,
"Res" = residuals(RMR.m2)), aes(x = Mass, y = Res, colour = as.factor(RMR.NMS.Data$Mother.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Dam Acclimation \nTemperature"))
Res.by.Dam = ggplot(data = data.frame("Dam" = as.factor(RMR.NMS.Data$Mother.Acc),
"Res" = residuals(RMR.m2)), aes(x = Dam, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Dam Acclimation Temperature \n (Degrees C)") + ylab("Deviance Residuals")
Res.by.Off = ggplot(data = data.frame("Offspring" = as.factor(RMR.NMS.Data$Offspring.Acc),
"Res" = residuals(RMR.m2)), aes(x = Offspring, y = Res)) +
theme_bw() + geom_boxplot(fill = "gold2") + my.theme.diag +
xlab("Dam Acclimation Temperature \n (Degrees C)") + ylab("Deviance Residuals")
layout <- rbind(c(1,1),
c(2,3))
grid.arrange(Res.by.Mass, Res.by.Dam, Res.by.Off, nrow = 2, top =
"Resting Metabolic Rate Residuals", layout_matrix = layout) 
# Again, homoskedastic. Calculating p-values.
dwdata.RMR.NMS.m2 = data.frame(term = c(rownames(summary(RMR.m2)$coefficients)),
estimate = c(summary(RMR.m2)$coefficients[1:4]),
std.error = c(summary(RMR.m2)$coefficients[5:8]),
statistic = c(summary(RMR.m2)$coefficients[9:12]))
p.values.m2 = c()
for (i in 1:nrow(dwdata.RMR.NMS.m2)){
p.values.m2[i] = pt(abs(dwdata.RMR.NMS.m2$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.RMR.NMS.m2$p.values = round(p.values.m2, 3)
dwdata.RMR.NMS.m2$term = c("(Intercept)", "log Mass", "Offspring Acclimation Temperature",
"Dam Acclimation Temperature")###Testing Model Assumptions for Resting Metabic Rate: Model 3.
RMR.m3 = lmer(log(RMR) ~ log(Mass) + Offspring.Acc + Mother.Acc + Offspring.Acc:Mother.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = RMR.NMS.Data)
summary(RMR.m3)$varcor ## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.0083944
## Father.ID (Intercept) 0.1284146
## Residual 0.4390322# Maternal ID alone explaining zero variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(RMR.m3, type = "deviance")),
aes(x = 1:nrow(RMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(RMR.m3, type = "deviance"),
"Fit" = predict(RMR.m3)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(RMR.m3, type = "deviance"),
"Resp" = log(RMR.NMS.Data$RMR)), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(RMR.m3, type = "deviance"),
"Fit" = predict(RMR.m3)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Resting Metabolic Rate Residuals") 
## Again, slight tails.
qqPlot(residuals(RMR.m3, type = "deviance"), ylab = "Deviance Residuals")
## 83 81
## 68 66## Largely within confidence intervals.
Resid.hist = ggplot(data.frame(Res = c(residuals(RMR.m3, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("firebrick")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.5/5 * ..count..))
print(Resid.hist)
# Slightly bimodal. Assessing predictors.
Res.by.Mass = ggplot(data = data.frame("Mass" = RMR.NMS.Data$Mass,
"Res" = residuals(RMR.m2)), aes(x = Mass, y = Res, colour = as.factor(RMR.NMS.Data$Mother.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme.diag +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Dam Acclimation Temperature")) +
theme(legend.position = "top")
Res.by.Dam = ggplot(data = data.frame("Dam" = as.factor(RMR.NMS.Data$Mother.Acc),
"Res" = residuals(RMR.m2)), aes(x = Dam, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Dam Acclimation Temperature \n (Degrees C)") + ylab("Deviance Residuals")
Res.by.Off = ggplot(data = data.frame("Offspring" = as.factor(RMR.NMS.Data$Offspring.Acc),
"Res" = residuals(RMR.m2)), aes(x = Offspring, y = Res)) +
theme_bw() + geom_boxplot(fill = "gold2") + my.theme.diag +
xlab("Dam Acclimation Temperature \n (Degrees C)") + ylab("Deviance Residuals")
Off.by.Dam = ggplot(data = data.frame("Dam" = as.factor(RMR.NMS.Data$Mother.Acc),
"Res" = residuals(RMR.m2)), aes(x = Dam, y = Res, fill = as.factor(RMR.NMS.Data$Offspring.Acc))) +
theme_bw() + geom_boxplot() + my.theme.diag + scale_fill_manual(values = c("firebrick", "coral")) +
xlab("Dam Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals") +
guides(fill=guide_legend(title="Offspring Acclimation \n Temperature")) +
theme(legend.position = "top")
layout <- rbind(c(1,1,2,3),
c(1,1,4,4))
grid.arrange(Res.by.Mass, Res.by.Dam, Res.by.Off, Off.by.Dam, nrow = 2, top =
"Resting Metabolic Rate Residuals", layout_matrix = layout) 
# Largely homoskedastic. Calculating p-values.
dwdata.RMR.NMS.m3 = data.frame(term = c(rownames(summary(RMR.m3)$coefficients)),
estimate = c(summary(RMR.m3)$coefficients[1:5]),
std.error = c(summary(RMR.m3)$coefficients[6:10]),
statistic = c(summary(RMR.m3)$coefficients[11:15]))
p.values.m3 = c()
for (i in 1:nrow(dwdata.RMR.NMS.m3)){
p.values.m3[i] = pt(abs(dwdata.RMR.NMS.m3$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.RMR.NMS.m3$p.values = round(p.values.m3, 3)
dwdata.RMR.NMS.m3$term = c("(Intercept)", "log Mass", "Offspring Acclimation Temperature",
"Dam Acclimation Temperature", "Dam Acclimation Temperature :\n Offspring Acclimation Temperature" )
## Comparing models by plot.
dwdata.RMR.NMS.m1 = dwdata.RMR.NMS.m1 %>% mutate(model = "Model 1")
dwdata.RMR.NMS.m2 = dwdata.RMR.NMS.m2 %>% mutate(model = "Model 2")
dwdata.RMR.NMS.m3 = dwdata.RMR.NMS.m3 %>% mutate(model = "Model 3")
RMR.NMS.Models = rbind(dwdata.RMR.NMS.m1, dwdata.RMR.NMS.m2, dwdata.RMR.NMS.m3)
RMR.NMS.Models$estimate = RMR.NMS.Models$estimate*5
RMR.NMS.Models$std.error = RMR.NMS.Models$std.error*5
RMR.NMS.Models %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() +
theme(legend.justification = c(-0.1,-0.1), legend.position = c(-0.8, 0.01)) + my.theme.dw +
xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = c("mediumseagreen", "mediumorchid", "cornflowerblue")) +
scale_colour_manual(values = c("black", "black", "black")) + scale_x_continuous(limits = c(-5.0,5.0),
breaks = c(-5.0, -2.5, 0, 2.5, 5.0), label = c("-1.00", "-0.50", "0", "0.50", "1.00"))
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/log Resting Metabolic Rate Model Comparisons.jpeg", dpi = 800, limitsize = TRUE)
RMR.NMS.Models$estimate = RMR.NMS.Models$estimate/5
RMR.NMS.Models$std.error = RMR.NMS.Models$std.error/5
RMR.NMS.Fit.m1 = data.frame("Response" = c(log(RMR.NMS.Data$RMR)), "Fit" = c(predict(RMR.m1)))
RMR.NMS.Fit.m2 = data.frame("Response" = c(log(RMR.NMS.Data$RMR)), "Fit" = c(predict(RMR.m2)))
RMR.NMS.Fit.m3 = data.frame("Response" = c(log(RMR.NMS.Data$RMR)), "Fit" = c(predict(RMR.m3)))
RMR.NMS.Fit.m1 = RMR.NMS.Fit.m1 %>% mutate(model = "Model 1")
RMR.NMS.Fit.m2 = RMR.NMS.Fit.m2 %>% mutate(model = "Model 2")
RMR.NMS.Fit.m3 = RMR.NMS.Fit.m3 %>% mutate(model = "Model 3")
RMR.NMS.Fit.All = rbind(RMR.NMS.Fit.m1, RMR.NMS.Fit.m2, RMR.NMS.Fit.m3)
RMR.NMS.Fits = ggplot(data = RMR.NMS.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted log Resting Metabolic Rate \n (log mg O2/h)") +
ylab("Measured log Resting \n Metabolic Rate \n (log mg O2/h)") +
scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(RMR.NMS.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/log Resting Metabolic Rate Model Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)###Testing Model Assumptions for Maximum Metabic Rate: Model 1.
MMR.m1 = lmer(log(MMR) ~ log(Mass) + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = MMR.NMS.Data)
summary(MMR.m1)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00054796
## Father.ID (Intercept) 0.01631463
## Residual 0.25085402 # Maternal ID explains zero residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance")),
aes(x = 1:nrow(MMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Fit" = predict(MMR.m1)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Resp" = MMR.NMS.Data$MMR), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Fit" = predict(MMR.m1)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Maximum Metabolic Rate Residuals") 
# Wow! One very destinct outlier. Assessing individual.
MMR.NMS.Data[which(residuals(MMR.m1, type = "deviance") < -2.0),]## Offspring.Acc Mother.Acc Father.Acc Mother.ID Father.ID Mass RMR MMR
## 83 1 1 1 3 4 3 0.1118 0.1165
## AAS CTM Parent.group Tank Tank.Box Family
## 83 0.05248 28.3 1 3 3C 15 # Remarkably low maximum metabolic rate and absolute aerobic scope. Removing from both datasets.
MMR.NMS.Data = MMR.NMS.Data[-c(which(residuals(MMR.m1, type = "deviance") < -2.0)),]
AAS.NMS.Data = AAS.NMS.Data[-c(which(AAS.NMS.Data$AAS == 0.05248)),]Recalculting AICc for Maximum Metabolic Rate - Model Iterations.
MMR.model = lmer(log(MMR) ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, data = MMR.NMS.Data)
AIC.Results.MMR = subset(dredge(MMR.model, rank = "AICc",
extra = list(R2 = function(x) r.squaredGLMM(x))), delta < 10)
Select.Models.MMR = c()
Delta.MMR = c()
Response = c()
Marg.R2 = c()
Cond.R2 = c()
for (i in 1:length(attr(AIC.Results.MMR, "model.calls"))){
Select.Models.MMR[i] = gsub(".*~ ", "", paste(attr(AIC.Results.MMR, "model.calls")[[i]])[2])
Delta.MMR[i] = AIC.Results.MMR$delta[i]
Response[i] = gsub(" ~.*", "", paste(attr(AIC.Results.MMR, "model.calls")[[i]])[2])
Marg.R2[i] = AIC.Results.MMR$R21[i]
Cond.R2[i] = AIC.Results.MMR$R22[i]
if (i == length(attr(AIC.Results.MMR, "model.calls"))){
Table = data.frame("Reponse.Type" = "Mass Independant", "Response" = Response,
"Delta.AIC" = Delta.MMR, "Marginal.R2" = Marg.R2, "Conditional.R2" = Cond.R2,
"Equation" = Select.Models.MMR)
assign(paste("AIC.Selection", "MMR", sep = "_"), Table)
}
}
AIC.Selection.NMS = rbind(AIC.Selection_NMS_1, AIC.Selection_MMR, AIC.Selection_NMS_3, AIC.Selection_NMS_4)
AIC.Selection = rbind(AIC.Selection.MS, AIC.Selection.NMS)
print(AIC.Selection, right = F)## Reponse.Type Response Delta.AIC Marginal.R2 Conditional.R2
## 1 Mass-Specific log(RMR.MS) 0.0000000 0.096893406 0.232585377
## 2 Mass-Specific log(RMR.MS) 0.4320103 0.053173310 0.240437710
## 3 Mass-Specific log(RMR.MS) 1.2633111 0.119499835 0.229420583
## 4 Mass-Specific log(RMR.MS) 1.6197476 0.076527651 0.233321010
## 5 Mass-Specific log(RMR.MS) 2.1592505 0.096883830 0.232579539
## 6 Mass-Specific log(RMR.MS) 3.4158810 0.119488586 0.228524187
## 7 Mass-Specific log(RMR.MS) 3.4339163 0.119662682 0.230781821
## 8 Mass-Specific log(RMR.MS) 3.4465742 0.119498539 0.229415547
## 9 Mass-Specific log(RMR.MS) 3.7625995 0.076639665 0.234918266
## 10 Mass-Specific log(RMR.MS) 5.6133294 0.119635050 0.229813129
## 11 Mass-Specific log(RMR.MS) 5.6233967 0.119487860 0.228511664
## 12 Mass-Specific log(RMR.MS) 5.6416400 0.119663749 0.230793240
## 13 Mass-Specific log(RMR.MS) 7.8457075 0.119636994 0.229817526
## 14 Mass-Specific log(RMR.MS) 9.2054714 0.123544421 0.234261527
## 15 Mass-Specific log(RMR.MS) 9.6359036 0.042108328 0.147303133
## 16 Mass-Specific log(MMR.MS) 0.0000000 0.120819398 0.142015628
## 17 Mass-Specific log(MMR.MS) 1.1337870 0.124820634 0.147076069
## 18 Mass-Specific log(MMR.MS) 1.6198084 0.073047609 0.149428049
## 19 Mass-Specific log(MMR.MS) 1.6632302 0.122837064 0.145818385
## 20 Mass-Specific log(MMR.MS) 2.7260488 0.077010507 0.155635207
## 21 Mass-Specific log(MMR.MS) 2.7981663 0.126409532 0.147141163
## 22 Mass-Specific log(MMR.MS) 2.8091275 0.126874372 0.150942976
## 23 Mass-Specific log(MMR.MS) 3.1451250 0.125299705 0.147122991
## 24 Mass-Specific log(MMR.MS) 4.4679396 0.078296179 0.155626011
## 25 Mass-Specific log(MMR.MS) 4.5445400 0.128233974 0.150738011
## 26 Mass-Specific log(MMR.MS) 4.7897724 0.127036217 0.147226264
## 27 Mass-Specific log(MMR.MS) 4.8318359 0.127376227 0.151009093
## 28 Mass-Specific log(MMR.MS) 6.5494559 0.128872410 0.150797081
## 29 Mass-Specific log(MMR.MS) 8.6127708 0.129301148 0.149887552
## 30 Mass-Specific log(AAS.MS) 0.0000000 0.060302235 0.060302235
## 31 Mass-Specific log(AAS.MS) 1.6058206 0.063319235 0.063319235
## 32 Mass-Specific log(AAS.MS) 1.6547206 0.063048269 0.063048269
## 33 Mass-Specific log(AAS.MS) 2.7150419 0.069211046 0.069211046
## 34 Mass-Specific log(AAS.MS) 3.2960644 0.066006761 0.066006761
## 35 Mass-Specific log(AAS.MS) 3.8171171 0.063123771 0.063123771
## 36 Mass-Specific log(AAS.MS) 4.4085037 0.072012289 0.072012289
## 37 Mass-Specific log(AAS.MS) 5.2780560 0.067227194 0.067227194
## 38 Mass-Specific log(AAS.MS) 5.4877412 0.066069601 0.066069601
## 39 Mass-Specific log(AAS.MS) 6.3908730 0.073373700 0.073373700
## 40 Mass-Specific log(AAS.MS) 6.6248050 0.072090713 0.072090713
## 41 Mass-Specific log(AAS.MS) 7.4941599 0.067307113 0.067307113
## 42 Mass-Specific log(AAS.MS) 8.3897446 0.000000000 0.000000000
## 43 Mass-Specific log(AAS.MS) 8.6315027 0.073472445 0.073472445
## 44 Mass-Specific log(AAS.MS) 9.8600456 0.003857163 0.003857163
## 45 Mass Independant log(RMR) 0.0000000 0.133984899 0.187297773
## 46 Mass Independant log(RMR) 1.2602254 0.141776312 0.205374533
## 47 Mass Independant log(RMR) 1.6073708 0.150429756 0.217648435
## 48 Mass Independant log(RMR) 1.6474074 0.128699092 0.173080515
## 49 Mass Independant log(RMR) 2.7321064 0.132748636 0.170710975
## 50 Mass Independant log(RMR) 2.8878776 0.135787938 0.190074963
## 51 Mass Independant log(RMR) 3.2743628 0.144635226 0.202897141
## 52 Mass Independant log(RMR) 4.0588194 0.140009483 0.188800811
## 53 Mass Independant log(RMR) 4.0950899 0.099888733 0.216120581
## 54 Mass Independant log(RMR) 4.5640317 0.148063744 0.200173714
## 55 Mass Independant log(RMR) 4.8488012 0.139278802 0.198212673
## 56 Mass Independant log(RMR) 5.0625559 0.110898124 0.246417343
## 57 Mass Independant log(RMR) 5.2947376 0.147628464 0.209939254
## 58 Mass Independant log(RMR) 5.5675794 0.093682927 0.198157075
## 59 Mass Independant log(RMR) 6.0925789 0.142859278 0.195183515
## 60 Mass Independant log(RMR) 6.4945585 0.101711516 0.224066355
## 61 Mass Independant log(RMR) 6.6513777 0.150652261 0.206487915
## 62 Mass Independant log(RMR) 8.3512657 0.104532707 0.233419043
## 63 Mass Independant log(RMR) 8.6324400 0.150978522 0.206358093
## 64 Mass Independant log(MMR) 0.0000000 0.510738853 0.524144298
## 65 Mass Independant log(MMR) 1.1519770 0.502590580 0.512328818
## 66 Mass Independant log(MMR) 1.6571485 0.512444178 0.526659436
## 67 Mass Independant log(MMR) 2.3452891 0.514902343 0.527337921
## 68 Mass Independant log(MMR) 2.7795841 0.503758820 0.513986209
## 69 Mass Independant log(MMR) 3.2968819 0.502620053 0.512491775
## 70 Mass Independant log(MMR) 3.4572491 0.507098338 0.515767016
## 71 Mass Independant log(MMR) 4.6305941 0.488909670 0.495346279
## 72 Mass Independant log(MMR) 4.8358232 0.504025835 0.514435029
## 73 Mass Independant log(MMR) 4.9419345 0.503795824 0.514183853
## 74 Mass Independant log(MMR) 5.5774070 0.507268020 0.516094480
## 75 Mass Independant log(MMR) 5.6497876 0.507100597 0.515788021
## 76 Mass Independant log(MMR) 6.3136925 0.485775107 0.491184530
## 77 Mass Independant log(MMR) 6.3152333 0.490443539 0.497454432
## 78 Mass Independant log(MMR) 7.0208786 0.504055810 0.514605353
## 79 Mass Independant log(MMR) 7.7908469 0.507268557 0.516099983
## 80 Mass Independant log(MMR) 7.9728918 0.486907140 0.492729202
## 81 Mass Independant log(MMR) 9.7659888 0.507717895 0.515552085
## 82 Mass Independant log(MMR) 9.9623768 0.487310418 0.493347010
## 83 Mass Independant AAS 0.0000000 0.379306754 0.379306754
## 84 Mass Independant AAS 1.5094369 0.381744663 0.381744663
## 85 Mass Independant AAS 2.1236991 0.379498459 0.379498459
## 86 Mass Independant AAS 2.6531066 0.385599404 0.385599404
## 87 Mass Independant AAS 3.6519021 0.381965771 0.381965771
## 88 Mass Independant AAS 4.3197068 0.379524264 0.379524264
## 89 Mass Independant AAS 4.8437724 0.385744203 0.385744203
## 90 Mass Independant AAS 5.1677514 0.351902531 0.351902531
## 91 Mass Independant AAS 5.5495969 0.383179239 0.383179239
## 92 Mass Independant AAS 5.8765842 0.381987328 0.381987328
## 93 Mass Independant AAS 6.6565265 0.354426090 0.354426090
## 94 Mass Independant AAS 6.7438725 0.387043061 0.387043061
## 95 Mass Independant AAS 7.0961929 0.385766785 0.385766785
## 96 Mass Independant AAS 7.1765895 0.352440551 0.352440551
## 97 Mass Independant AAS 7.7990045 0.383212887 0.383212887
## 98 Mass Independant AAS 8.7040291 0.354915814 0.354915814
## 99 Mass Independant AAS 9.0213227 0.387078480 0.387078480
## 100 Mass Independant CTM 0.0000000 0.468351559 0.508793017
## Equation
## 1 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 2 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 3 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 4 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 5 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 6 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 7 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 8 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 9 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 10 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 11 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 12 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 13 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 14 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 15 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 16 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 17 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 18 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 19 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 20 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 21 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 22 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 23 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 24 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 25 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 26 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 27 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 28 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 29 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 30 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 31 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 32 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 33 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 34 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 35 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 36 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 37 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 38 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 39 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 40 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 41 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 42 (1 | Mother.ID) + (1 | Father.ID)
## 43 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 44 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 45 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 46 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 47 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 48 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 49 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 50 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 51 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 52 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 53 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 54 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 55 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 56 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 57 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 58 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 59 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 60 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 61 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 62 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 63 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 64 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 65 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 66 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 67 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 68 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 69 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 70 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 71 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 72 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 73 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 74 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 75 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 76 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 77 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 78 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 79 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 80 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 81 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 82 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 83 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 84 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 85 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 86 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 87 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 88 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 89 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 90 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 91 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 92 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 93 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 94 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 95 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 96 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 97 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 98 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 99 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 100 Offspring.Acc write.csv(AIC.Selection, "Model_Outputs_AICc.csv", row.names = FALSE)###Reassessing Model Assumptions for Maximum Metabic Rate: Model 1.
MMR.m1 = lmer(log(MMR) ~ log(Mass) + Offspring.Acc + (1|Mother.ID) + (1|Father.ID),
REML = FALSE, data = MMR.NMS.Data)
summary(MMR.m1)$AICtab[1]## AIC
## -82.4201 # AIC dramatically improved.
summary(MMR.m1)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.000000
## Father.ID (Intercept) 0.032587
## Residual 0.194153 # Maternal ID again explaining no residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance")),
aes(x = 1:nrow(MMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Fit" = predict(MMR.m1)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Resp" = MMR.NMS.Data$MMR), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Fit" = predict(MMR.m1)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Maximum Metabolic Rate Residuals") 
qqPlot(residuals(MMR.m1, type = "deviance"), ylab = "Deviance Residuals")
## 198 47
## 194 47 # Residuals horribly non-normal.
Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.m1, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("black")) + scale_colour_manual(values = c("navajowhite")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.2/5 * ..count..))
print(Resid.hist)
# Bimodal. Assessing predictors by residuals.
Res.by.Mass = ggplot(data = data.frame("Mass" = RMR.NMS.Data$Mass,
"Res" = residuals(RMR.m2)), aes(x = Mass, y = Res, colour = as.factor(RMR.NMS.Data$Offspring.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme.diag +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Offspring Acclimation Temperature")) +
theme(legend.position = "top")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(RMR.NMS.Data$Offspring.Acc),
"Res" = residuals(RMR.m2)), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
QQNorm.Diag = ggplot(data.frame("Res" = residuals(MMR.m1, type = "deviance"),
"Fit" = predict(MMR.m1), "Off" = as.factor(MMR.NMS.Data$Offspring.Acc)),
aes(sample=Res, colour = Off)) + stat_qq() +
stat_qq_line() + my.theme + theme_bw() +
scale_colour_manual(values = c("black", "thistle")) + theme(legend.position = "top") +
guides(colour=guide_legend(title="Offspring Acclimation Temperature"))
layout <- rbind(c(1,1,2,2),
c(NA,3,3,NA))
grid.arrange(Res.by.Mass, Res.by.Off, QQNorm.Diag, nrow = 2, top =
"Maximum Metabolic Rate Residuals", layout_matrix = layout) 
# No clear heteroskedasticity, nor difference in sample size. Assessing a histogram.
Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.m1, type = "deviance")),
"Offspring" = as.factor(MMR.NMS.Data$Offspring.Acc)),
aes(Res, fill = Offspring, colour = Offspring)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("black", "mediumorchid")) + scale_colour_manual(values = c("white", "black")) +
theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.2/4 * ..count..))
print(Resid.hist)
## Equivalent data distributions. Continuing on.
dwdata.MMR.NMS.m1 = data.frame(term = c(rownames(summary(MMR.m1)$coefficients)),
estimate = c(summary(MMR.m1)$coefficients[1:3]),
std.error = c(summary(MMR.m1)$coefficients[4:6]),
statistic = c(summary(MMR.m1)$coefficients[7:9]))
p.values.m1 = c()
for (i in 1:nrow(dwdata.MMR.NMS.m1)){
p.values.m1[i] = pt(abs(dwdata.MMR.NMS.m1$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.MMR.NMS.m1$p.values = round(p.values.m1, 3)
dwdata.MMR.NMS.m1$term = c("(Intercept)", "log Mass", "Offspring Acclimation Temperature")###Testing Model Assumptions for Maximum Metabic Rate: Model 2.
MMR.m2 = lmer(log(MMR) ~ log(Mass) + Offspring.Acc + Father.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = MMR.NMS.Data)
summary(MMR.m2)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.000000
## Father.ID (Intercept) 0.027424
## Residual 0.194068 # Maternal and paternal ID explain very little residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(MMR.m2, type = "deviance")),
aes(x = 1:nrow(MMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(MMR.m2, type = "deviance"),
"Fit" = predict(MMR.m2)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(MMR.m2, type = "deviance"),
"Resp" = MMR.NMS.Data$MMR), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(MMR.m2, type = "deviance"),
"Fit" = predict(MMR.m2)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Maximum Metabolic Rate Residuals") 
# Normality far from met again.
qqPlot(residuals(MMR.m2, type = "deviance"), ylab = "Deviance Residuals")
## 198 47
## 194 47 Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.m2, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.2/5 * ..count..))
print(Resid.hist)
# Arguably more pronounced bimodality. Assessing parameter-specific variance.
Res.by.Mass = ggplot(data = data.frame("Mass" = MMR.NMS.Data$Mass,
"Res" = residuals(MMR.m2, type = "deviance")), aes(x = Mass, y = Res,
colour = as.factor(MMR.NMS.Data$Offspring.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme.diag +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Offspring Acclimation Temperature")) +
theme(legend.position = "top")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(MMR.NMS.Data$Offspring.Acc),
"Res" = residuals(MMR.m2, type = "deviance")), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
Res.by.Pat = ggplot(data = data.frame("Pat" = as.factor(MMR.NMS.Data$Father.Acc),
"Res" = residuals(MMR.m2, type = "deviance")), aes(x = Pat, y = Res)) +
theme_bw() + geom_boxplot(fill = "mediumseagreen") + my.theme.diag +
xlab("Sire Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
QQNorm.by.Off = ggplot(data.frame("Res" = residuals(MMR.m2, type = "deviance"),
"Fit" = predict(MMR.m2), "Off" = as.factor(MMR.NMS.Data$Offspring.Acc)),
aes(sample=Res, colour = Off)) + stat_qq() +
stat_qq_line() + my.theme + theme_bw() +
scale_colour_manual(values = c("mediumseagreen", "mediumorchid")) + theme(legend.position = "top") +
guides(colour=guide_legend(title="Offspring Acclimation Temperature"))
QQNorm.by.Pat = ggplot(data.frame("Res" = residuals(MMR.m2, type = "deviance"),
"Fit" = predict(MMR.m2), "Pat" = as.factor(MMR.NMS.Data$Father.Acc)),
aes(sample=Res, colour = Pat)) + stat_qq() +
stat_qq_line() + my.theme + theme_bw() +
scale_colour_manual(values = c("royalblue", "gold2")) + theme(legend.position = "top") +
guides(colour=guide_legend(title="Sire Acclimation Temperature"))
grid.arrange(Res.by.Mass, Res.by.Off, Res.by.Pat, QQNorm.by.Off, QQNorm.by.Pat,
nrow = 3, top = "Maximum Metabolic Rate Residuals") 
# Perhaps a slight heterogeneity across offspring acclimation temperature, but very minimal.
# Calculating p-values.
dwdata.MMR.NMS.m2 = data.frame(term = c(rownames(summary(MMR.m2)$coefficients)),
estimate = c(summary(MMR.m2)$coefficients[1:4]),
std.error = c(summary(MMR.m2)$coefficients[5:8]),
statistic = c(summary(MMR.m2)$coefficients[9:12]))
p.values.m2 = c()
for (i in 1:nrow(dwdata.MMR.NMS.m2)){
p.values.m2[i] = pt(abs(dwdata.MMR.NMS.m2$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.MMR.NMS.m2$p.values = round(p.values.m2, 3)
dwdata.MMR.NMS.m2$term = c("(Intercept)", "log Mass", "Offspring Acclimation Temperature",
"Sire Acclimation Temperature")###Testing Model Assumptions for Maximum Metabic Rate: Model 3.
MMR.m3 = lmer(log(MMR) ~ log(Mass) + Offspring.Acc + Mother.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, data = MMR.NMS.Data)
summary(MMR.m3)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 9.5575e-10
## Father.ID (Intercept) 3.3598e-02
## Residual 1.9388e-01 # Paternal ID alone explaining residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(MMR.m3, type = "deviance")),
aes(x = 1:nrow(MMR.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(MMR.m3), "Fit" = predict(MMR.m3)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(MMR.m3), "Resp" =
MMR.NMS.Data$MMR), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(MMR.m3), "Fit" = predict(MMR.m2)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Maximum Metabolic Rate Residuals") 
# Similar patterns to previous two models.
Resid.hist = ggplot(data.frame(Res = c(residuals(MMR.m3, type = "deviance")), Model = "Model1"),
aes(Res, fill = Model, colour = Model)) + geom_histogram(alpha = 0.5, bins = 20) + theme_bw() +
my.theme + xlab("Deviance Residuals") + ylab("Count") + scale_fill_manual(values =
c("cornflowerblue")) + scale_colour_manual(values = c("black")) + theme(legend.position = "none") +
geom_density(alpha = 0.5, aes(y=0.2/5 * ..count..))
print(Resid.hist)
Res.by.Mass = ggplot(data = data.frame("Mass" = MMR.NMS.Data$Mass,
"Res" = residuals(MMR.m3, type = "deviance")), aes(x = Mass, y = Res,
colour = as.factor(MMR.NMS.Data$Offspring.Acc))) +
theme_bw() + geom_point(size = 3, alpha = 0.5) + my.theme.diag +
xlab("Mass (g)") + ylab("Deviance Residuals") +
scale_colour_manual(values = c("royalblue", "gold2")) +
guides(colour=guide_legend(title="Offspring Acclimation Temperature")) +
theme(legend.position = "top")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(MMR.NMS.Data$Offspring.Acc),
"Res" = residuals(MMR.m3, type = "deviance")), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
Res.by.Mat = ggplot(data = data.frame("Mat" = as.factor(MMR.NMS.Data$Mother.Acc),
"Res" = residuals(MMR.m3, type = "deviance")), aes(x = Mat, y = Res)) +
theme_bw() + geom_boxplot(fill = "mediumseagreen") + my.theme.diag +
xlab("Dam Acclimation Temperature (Degrees C)") + ylab("Deviance Residuals")
QQNorm.by.Off = ggplot(data.frame("Res" = residuals(MMR.m3, type = "deviance"),
"Fit" = predict(MMR.m3), "Off" = as.factor(MMR.NMS.Data$Offspring.Acc)),
aes(sample=Res, colour = Off)) + stat_qq() +
stat_qq_line() + my.theme + theme_bw() +
scale_colour_manual(values = c("mediumseagreen", "mediumorchid")) + theme(legend.position = "top") +
guides(colour=guide_legend(title="Offspring Acclimation Temperature"))
QQNorm.by.Mat = ggplot(data.frame("Res" = residuals(MMR.m3, type = "deviance"),
"Fit" = predict(MMR.m3), "Mat" = as.factor(MMR.NMS.Data$Mother.Acc)),
aes(sample=Res, colour = Mat)) + stat_qq() +
stat_qq_line() + my.theme + theme_bw() +
scale_colour_manual(values = c("royalblue", "gold2")) + theme(legend.position = "top") +
guides(colour=guide_legend(title="Dam Acclimation Temperature"))
grid.arrange(Res.by.Mass, Res.by.Off, Res.by.Mat, QQNorm.by.Off, QQNorm.by.Pat,
nrow = 3, top = "Maximum Metabolic Rate Residuals") 
## Similar variance as above two models. Perhaps an interaction between mass and temperature categories
## could be considered? Calculating p-values.
dwdata.MMR.NMS.m3 = data.frame(term = c(rownames(summary(MMR.m3)$coefficients)),
estimate = c(summary(MMR.m3)$coefficients[1:4]),
std.error = c(summary(MMR.m3)$coefficients[5:8]),
statistic = c(summary(MMR.m3)$coefficients[9:12]))
p.values.m3= c()
for (i in 1:nrow(dwdata.MMR.NMS.m3)){
p.values.m3[i] = pt(abs(dwdata.MMR.NMS.m3$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.MMR.NMS.m3$p.values = round(p.values.m3, 3)
dwdata.MMR.NMS.m3$term = c("(Intercept)", "log Mass", "Offspring Acclimation Temperature",
"Dam Acclimation Temperature")
## Comparing Model Outputs by Plots
dwdata.MMR.NMS.m1 = dwdata.MMR.NMS.m1 %>% mutate(model = "Model 1")
dwdata.MMR.NMS.m2 = dwdata.MMR.NMS.m2 %>% mutate(model = "Model 2")
dwdata.MMR.NMS.m3 = dwdata.MMR.NMS.m3 %>% mutate(model = "Model 3")
MMR.NMS.Models = rbind(dwdata.MMR.NMS.m1, dwdata.MMR.NMS.m2, dwdata.MMR.NMS.m3)
MMR.NMS.Models$estimate = MMR.NMS.Models$estimate*8
MMR.NMS.Models$std.error = MMR.NMS.Models$std.error*8
MMR.NMS.Models %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() +
theme(legend.justification = c(-0.1,-0.1),
legend.position = c(0,0.01)) + my.theme.dw + xlab("Coefficient") + ylab("") +
geom_vline(xintercept = 0, colour = "black", linetype = 2) +
scale_fill_manual(values = c("mediumseagreen", "mediumorchid", "cornflowerblue")) +
scale_colour_manual(values = c("black", "black", "black")) + scale_x_continuous(limits = c(-8.0,8.0),
breaks = c(-8.0, -4.0, 0, 4.0, 8.0), label = c("-1.00", "-0.50", "0", "0.50", "1.00"))
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/log Maximum Metabolic Rate Model Comparisons.jpeg", dpi = 800, limitsize = TRUE)
MMR.NMS.Models$estimate = MMR.NMS.Models$estimate/8
MMR.NMS.Models$std.error = MMR.NMS.Models$std.error/8
MMR.NMS.Fit.m1 = data.frame("Response" = c(log(MMR.NMS.Data$MMR)), "Fit" = c(predict(MMR.m1)),
"Mass" = c(log(MMR.NMS.Data$Mass)))
MMR.NMS.Fit.m2 = data.frame("Response" = c(log(MMR.NMS.Data$MMR)), "Fit" = c(predict(MMR.m2)),
"Mass" = c(log(MMR.NMS.Data$Mass)))
MMR.NMS.Fit.m3 = data.frame("Response" = c(log(MMR.NMS.Data$MMR)), "Fit" = c(predict(MMR.m3)),
"Mass" = c(log(MMR.NMS.Data$Mass)))
MMR.NMS.Fit.m1 = MMR.NMS.Fit.m1 %>% mutate(model = "Model 1")
MMR.NMS.Fit.m2 = MMR.NMS.Fit.m2 %>% mutate(model = "Model 2")
MMR.NMS.Fit.m3 = MMR.NMS.Fit.m3 %>% mutate(model = "Model 3")
MMR.NMS.Fit.All = rbind(MMR.NMS.Fit.m1, MMR.NMS.Fit.m2, MMR.NMS.Fit.m3)
MMR.NMS.Fits = ggplot(data = MMR.NMS.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted log Resting Metabolic Rate \n (log mg O2/h)") +
ylab("Measured log Resting \n Metabolic Rate \n (log mg O2/h)") +
scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(MMR.NMS.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/log Maximum Metabolic Rate Model Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)
# Very subtle differences between models.###Testing Model Assumptions for Absolute Aerobic Scope: Model 1.
AAS.m1 = lmer(AAS ~ log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID),
REML = FALSE, data = AAS.NMS.Data)
summary(AAS.m1)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.0000
## Father.ID (Intercept) 0.0000
## Residual 0.2058# Maternal ID explaining zero variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "deviance")),
aes(x = 1:nrow(AAS.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Deviance Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "deviance"),
"Fit" = predict(AAS.m1)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Deviance Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "deviance"),
"Resp" = AAS.NMS.Data$AAS), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Deviance Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(AAS.m1, type = "deviance"), "Fit" = predict(AAS.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Absolute Aerobic Scope Residuals") 
# Residuals normal, fan in residuals vs fitteds.
Resid.by.Mass = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "deviance"),
"Mass" = log(AAS.NMS.Data$Mass)), aes(x = Mass, y = Res)) + my.theme + theme_bw() + geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) +
xlab("log Mass (g)") + ylab("Deviance Residuals")
print(Resid.by.Mass)
# Weight by inverse of mass - conducted below and compared to original model.
AAS.m1b = lmer(AAS ~ log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID),
REML = FALSE, weights = 1/log(Mass), data = AAS.NMS.Data)
R2vals = c(unlist(lapply(list(AAS.m1, AAS.m1b), r.squaredGLMM)))
Model.Comparison = data.frame("Weighted" = c("No", "Yes"), "Marginal R2" = c(R2vals[c(1,3)]),
"Conditional R2" = c(R2vals[c(2,4)]), "AIC" = c(summary(AAS.m1)$AICtab[1], summary(AAS.m1b)$AICtab[1]))
print(Model.Comparison)## Weighted Marginal.R2 Conditional.R2 AIC
## 1 No 0.4030555 0.4030555 -42.7185
## 2 Yes 0.4419980 0.4419980 -52.5377 # Both variance explained and AIC improved. Assessing mass by residual structure
Mass.by.Res = ggplot(data = data.frame("Res" = residuals(AAS.m1b, type = "pearson"),
"Mass" = log(AAS.NMS.Data$Mass)),
aes(x = Mass, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) +
xlab("log Mass (g)") + ylab("Deviance Residuals")
print(Mass.by.Res)
###Re-running Model Iterations for Absolute Aerobic Scope: Application of 1/log Mass Weighting.
AAS.model = lmer(AAS ~ Mother.Acc*Father.Acc*Offspring.Acc + log(Mass) + (1|Mother.ID) +(1|Father.ID),
REML = FALSE, weights = 1/log(Mass), data = AAS.NMS.Data)
AIC.Results.AAS = subset(dredge(AAS.model, rank = "AICc",
extra = list(R2 = function(x) r.squaredGLMM(x))), delta < 10)
Select.Models.AAS = c()
Delta.AAS = c()
Response = c()
Marg.R2 = c()
Cond.R2 = c()
for (i in 1:length(attr(AIC.Results.AAS, "model.calls"))){
Select.Models.AAS[i] = gsub(".*~ ", "", paste(attr(AIC.Results.AAS, "model.calls")[[i]])[2])
Delta.AAS[i] = AIC.Results.AAS$delta[i]
Response[i] = gsub(" ~.*", "", paste(attr(AIC.Results.AAS, "model.calls")[[i]])[2])
Marg.R2[i] = AIC.Results.AAS$R21[i]
Cond.R2[i] = AIC.Results.AAS$R22[i]
if (i == length(attr(AIC.Results.AAS, "model.calls"))){
Table = data.frame("Reponse.Type" = "Mass Independant", "Response" = Response,
"Delta.AIC" = Delta.AAS, "Marginal.R2" = Marg.R2, "Conditional.R2" = Cond.R2,
"Equation" = Select.Models.AAS)
assign(paste("AIC.Selection", "AAS", sep = "_"), Table)
}
}
AIC.Selection.NMS = rbind(AIC.Selection_NMS_1, AIC.Selection_MMR, AIC.Selection_AAS, AIC.Selection_NMS_4)
AIC.Selection = rbind(AIC.Selection.MS, AIC.Selection.NMS)
print(AIC.Selection, right = F)## Reponse.Type Response Delta.AIC Marginal.R2 Conditional.R2
## 1 Mass-Specific log(RMR.MS) 0.0000000 0.096893406 0.232585377
## 2 Mass-Specific log(RMR.MS) 0.4320103 0.053173310 0.240437710
## 3 Mass-Specific log(RMR.MS) 1.2633111 0.119499835 0.229420583
## 4 Mass-Specific log(RMR.MS) 1.6197476 0.076527651 0.233321010
## 5 Mass-Specific log(RMR.MS) 2.1592505 0.096883830 0.232579539
## 6 Mass-Specific log(RMR.MS) 3.4158810 0.119488586 0.228524187
## 7 Mass-Specific log(RMR.MS) 3.4339163 0.119662682 0.230781821
## 8 Mass-Specific log(RMR.MS) 3.4465742 0.119498539 0.229415547
## 9 Mass-Specific log(RMR.MS) 3.7625995 0.076639665 0.234918266
## 10 Mass-Specific log(RMR.MS) 5.6133294 0.119635050 0.229813129
## 11 Mass-Specific log(RMR.MS) 5.6233967 0.119487860 0.228511664
## 12 Mass-Specific log(RMR.MS) 5.6416400 0.119663749 0.230793240
## 13 Mass-Specific log(RMR.MS) 7.8457075 0.119636994 0.229817526
## 14 Mass-Specific log(RMR.MS) 9.2054714 0.123544421 0.234261527
## 15 Mass-Specific log(RMR.MS) 9.6359036 0.042108328 0.147303133
## 16 Mass-Specific log(MMR.MS) 0.0000000 0.120819398 0.142015628
## 17 Mass-Specific log(MMR.MS) 1.1337870 0.124820634 0.147076069
## 18 Mass-Specific log(MMR.MS) 1.6198084 0.073047609 0.149428049
## 19 Mass-Specific log(MMR.MS) 1.6632302 0.122837064 0.145818385
## 20 Mass-Specific log(MMR.MS) 2.7260488 0.077010507 0.155635207
## 21 Mass-Specific log(MMR.MS) 2.7981663 0.126409532 0.147141163
## 22 Mass-Specific log(MMR.MS) 2.8091275 0.126874372 0.150942976
## 23 Mass-Specific log(MMR.MS) 3.1451250 0.125299705 0.147122991
## 24 Mass-Specific log(MMR.MS) 4.4679396 0.078296179 0.155626011
## 25 Mass-Specific log(MMR.MS) 4.5445400 0.128233974 0.150738011
## 26 Mass-Specific log(MMR.MS) 4.7897724 0.127036217 0.147226264
## 27 Mass-Specific log(MMR.MS) 4.8318359 0.127376227 0.151009093
## 28 Mass-Specific log(MMR.MS) 6.5494559 0.128872410 0.150797081
## 29 Mass-Specific log(MMR.MS) 8.6127708 0.129301148 0.149887552
## 30 Mass-Specific log(AAS.MS) 0.0000000 0.060302235 0.060302235
## 31 Mass-Specific log(AAS.MS) 1.6058206 0.063319235 0.063319235
## 32 Mass-Specific log(AAS.MS) 1.6547206 0.063048269 0.063048269
## 33 Mass-Specific log(AAS.MS) 2.7150419 0.069211046 0.069211046
## 34 Mass-Specific log(AAS.MS) 3.2960644 0.066006761 0.066006761
## 35 Mass-Specific log(AAS.MS) 3.8171171 0.063123771 0.063123771
## 36 Mass-Specific log(AAS.MS) 4.4085037 0.072012289 0.072012289
## 37 Mass-Specific log(AAS.MS) 5.2780560 0.067227194 0.067227194
## 38 Mass-Specific log(AAS.MS) 5.4877412 0.066069601 0.066069601
## 39 Mass-Specific log(AAS.MS) 6.3908730 0.073373700 0.073373700
## 40 Mass-Specific log(AAS.MS) 6.6248050 0.072090713 0.072090713
## 41 Mass-Specific log(AAS.MS) 7.4941599 0.067307113 0.067307113
## 42 Mass-Specific log(AAS.MS) 8.3897446 0.000000000 0.000000000
## 43 Mass-Specific log(AAS.MS) 8.6315027 0.073472445 0.073472445
## 44 Mass-Specific log(AAS.MS) 9.8600456 0.003857163 0.003857163
## 45 Mass Independant log(RMR) 0.0000000 0.133984899 0.187297773
## 46 Mass Independant log(RMR) 1.2602254 0.141776312 0.205374533
## 47 Mass Independant log(RMR) 1.6073708 0.150429756 0.217648435
## 48 Mass Independant log(RMR) 1.6474074 0.128699092 0.173080515
## 49 Mass Independant log(RMR) 2.7321064 0.132748636 0.170710975
## 50 Mass Independant log(RMR) 2.8878776 0.135787938 0.190074963
## 51 Mass Independant log(RMR) 3.2743628 0.144635226 0.202897141
## 52 Mass Independant log(RMR) 4.0588194 0.140009483 0.188800811
## 53 Mass Independant log(RMR) 4.0950899 0.099888733 0.216120581
## 54 Mass Independant log(RMR) 4.5640317 0.148063744 0.200173714
## 55 Mass Independant log(RMR) 4.8488012 0.139278802 0.198212673
## 56 Mass Independant log(RMR) 5.0625559 0.110898124 0.246417343
## 57 Mass Independant log(RMR) 5.2947376 0.147628464 0.209939254
## 58 Mass Independant log(RMR) 5.5675794 0.093682927 0.198157075
## 59 Mass Independant log(RMR) 6.0925789 0.142859278 0.195183515
## 60 Mass Independant log(RMR) 6.4945585 0.101711516 0.224066355
## 61 Mass Independant log(RMR) 6.6513777 0.150652261 0.206487915
## 62 Mass Independant log(RMR) 8.3512657 0.104532707 0.233419043
## 63 Mass Independant log(RMR) 8.6324400 0.150978522 0.206358093
## 64 Mass Independant log(MMR) 0.0000000 0.510738853 0.524144298
## 65 Mass Independant log(MMR) 1.1519770 0.502590580 0.512328818
## 66 Mass Independant log(MMR) 1.6571485 0.512444178 0.526659436
## 67 Mass Independant log(MMR) 2.3452891 0.514902343 0.527337921
## 68 Mass Independant log(MMR) 2.7795841 0.503758820 0.513986209
## 69 Mass Independant log(MMR) 3.2968819 0.502620053 0.512491775
## 70 Mass Independant log(MMR) 3.4572491 0.507098338 0.515767016
## 71 Mass Independant log(MMR) 4.6305941 0.488909670 0.495346279
## 72 Mass Independant log(MMR) 4.8358232 0.504025835 0.514435029
## 73 Mass Independant log(MMR) 4.9419345 0.503795824 0.514183853
## 74 Mass Independant log(MMR) 5.5774070 0.507268020 0.516094480
## 75 Mass Independant log(MMR) 5.6497876 0.507100597 0.515788021
## 76 Mass Independant log(MMR) 6.3136925 0.485775107 0.491184530
## 77 Mass Independant log(MMR) 6.3152333 0.490443539 0.497454432
## 78 Mass Independant log(MMR) 7.0208786 0.504055810 0.514605353
## 79 Mass Independant log(MMR) 7.7908469 0.507268557 0.516099983
## 80 Mass Independant log(MMR) 7.9728918 0.486907140 0.492729202
## 81 Mass Independant log(MMR) 9.7659888 0.507717895 0.515552085
## 82 Mass Independant log(MMR) 9.9623768 0.487310418 0.493347010
## 83 Mass Independant AAS 0.0000000 0.441998010 0.441998010
## 84 Mass Independant AAS 2.1304077 0.441782394 0.441782394
## 85 Mass Independant AAS 2.1610466 0.442207861 0.442207861
## 86 Mass Independant AAS 2.7171750 0.445764297 0.445764297
## 87 Mass Independant AAS 4.3196162 0.441988973 0.441988973
## 88 Mass Independant AAS 4.3650932 0.442243015 0.442243015
## 89 Mass Independant AAS 4.9188507 0.446066391 0.446066391
## 90 Mass Independant AAS 6.5460768 0.441987255 0.441987255
## 91 Mass Independant AAS 6.5515996 0.442008570 0.442008570
## 92 Mass Independant AAS 7.1766437 0.446058461 0.446058461
## 93 Mass Independant AAS 7.1788218 0.446031464 0.446031464
## 94 Mass Independant AAS 8.6740123 0.411156486 0.411156486
## 95 Mass Independant AAS 8.8061844 0.442017821 0.442017821
## 96 Mass Independant AAS 9.4655299 0.446030078 0.446030078
## 97 Mass Independant CTM 0.0000000 0.468351559 0.508793017
## Equation
## 1 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 2 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 3 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 4 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 5 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 6 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 7 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 8 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 9 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 10 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 11 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 12 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 13 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 14 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 15 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 16 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 17 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 18 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 19 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 20 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 21 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 22 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 23 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 24 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 25 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 26 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 27 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 28 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 29 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 30 Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 31 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 32 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 33 Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 34 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 35 Father.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 36 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 37 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 38 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 39 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 40 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 41 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 42 (1 | Mother.ID) + (1 | Father.ID)
## 43 Father.Acc + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 44 Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 45 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 46 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 47 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 48 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 49 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 50 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 51 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 52 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 53 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 54 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 55 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 56 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 57 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 58 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 59 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 60 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 61 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 62 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 63 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 64 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 65 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 66 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 67 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 68 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 69 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 70 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 71 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 72 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 73 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 74 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 75 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 76 Father.Acc + log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 77 log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 78 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 79 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 80 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 81 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc + Father.Acc:Mother.Acc:Offspring.Acc
## 82 Father.Acc + log(Mass) + Mother.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 83 log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 84 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 85 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 86 log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 87 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID)
## 88 Father.Acc + log(Mass) + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 89 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Mother.Acc:Offspring.Acc
## 90 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc
## 91 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc
## 92 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Mother.Acc:Offspring.Acc
## 93 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 94 log(Mass) + (1 | Mother.ID) + (1 | Father.ID)
## 95 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc
## 96 Father.Acc + log(Mass) + Mother.Acc + Offspring.Acc + (1 | Mother.ID) + (1 | Father.ID) + Father.Acc:Mother.Acc + Father.Acc:Offspring.Acc + Mother.Acc:Offspring.Acc
## 97 Offspring.Acc write.csv(AIC.Selection, "Model_Outputs_AICc.csv", row.names = FALSE)###Reassessing Model Assumptions for Absolute Aerobic Scope: Model 1.
AAS.m1 = lmer(AAS ~ log(Mass) + Offspring.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, weights = 1/log(Mass),
data = AAS.NMS.Data)
summary(AAS.m1)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.00000
## Residual 0.19642 # Neither paternal nor maternal ID explain residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "pearson")),
aes(x = 1:nrow(AAS.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Pearson Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "pearson"), "Fit" = predict(AAS.m1)),
aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Pearson Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "pearson"), "Resp" =
AAS.NMS.Data$AAS), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Pearson Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(AAS.m1, type = "pearson"), "Fit" = predict(AAS.m1)),
aes(sample=Res)) + stat_qq(colour = "gold") + stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Absolute Aerobic Scope Residuals") 
# Well behaved.
qqPlot(residuals(AAS.m1, type = "pearson"), ylab = "Pearson Residuals")
## 102 206
## 76 152 # Normal pearson residuals.
# Assessing residuals by predictors.
Res.by.Mass = ggplot(data = data.frame("Res" = residuals(AAS.m1, type = "pearson"),
"Mass" = log(AAS.NMS.Data$Mass)), aes(x = Mass, y = Res)) + theme_bw() + my.theme.diag +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) +
xlab("log Mass (g)") + ylab("Deviance Residuals")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(AAS.NMS.Data$Offspring.Acc),
"Res" = residuals(AAS.m1, type = "pearson")), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "royalblue") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Pearson Residuals")
grid.arrange(Res.by.Mass, Res.by.Off, nrow = 2, top =
"Absolute Aerobic Scope Residuals") 
# Very subtle heterogeneity, but not sufficient for adjusted variance structure.
# Calculating p-values.
dwdata.AAS.NMS.m1 = data.frame(term = c(rownames(summary(AAS.m1)$coefficients)),
estimate = c(summary(AAS.m1)$coefficients[1:3]),
std.error = c(summary(AAS.m1)$coefficients[4:6]),
statistic = c(summary(AAS.m1)$coefficients[7:9]))
p.values.m1= c()
for (i in 1:nrow(dwdata.AAS.NMS.m1)){
p.values.m1[i] = pt(abs(dwdata.AAS.NMS.m1$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.AAS.NMS.m1$p.values = round(p.values.m1, 3)
dwdata.AAS.NMS.m1$term = c("(Intercept)", "log Mass",
"Offspring Acclimation Temperature"
)###Testing Model Assumptions for Absolute Aerobic Scope: Model 2.
AAS.m2 = lmer(AAS ~ log(Mass) + Offspring.Acc + Mother.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, weights = 1/log(Mass),
data = AAS.NMS.Data)
summary(AAS.m2)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.00000
## Residual 0.19639 # Neither paternal nor maternal ID explain residual variance, as in the previous model.
Res.Alone = ggplot(data = data.frame("Res" = residuals(AAS.m2, type = "pearson")),
aes(x = 1:nrow(AAS.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Pearson Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(AAS.m2, type = "pearson"),
"Fit" = predict(AAS.m2)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Pearson Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(AAS.m2, type = "pearson"),
"Resp" = AAS.NMS.Data$AAS), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Pearson Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(AAS.m2, type = "pearson"),
"Fit" = predict(AAS.m2)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Absolute Aerobic Scope Residuals") 
# Similarly well behaved.
qqPlot(residuals(AAS.m2, type = "pearson"), ylab = "Pearson Residuals")
## 206 102
## 152 76 # Normal pearson residuals, though with slight tails.
# Assessing residuals by predictors.
Res.by.Mass = ggplot(data = data.frame("Res" = residuals(AAS.m2, type = "pearson"),
"Mass" = log(AAS.NMS.Data$Mass)), aes(x = Mass, y = Res)) + theme_bw() + my.theme.diag +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) +
xlab("log Mass (g)") + ylab("Deviance Residuals")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(AAS.NMS.Data$Offspring.Acc),
"Res" = residuals(AAS.m2, type = "pearson")), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "gold2") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Pearson Residuals")
Res.by.Dam = ggplot(data = data.frame("Dam" = as.factor(AAS.NMS.Data$Mother.Acc),
"Res" = residuals(AAS.m2, type = "pearson")), aes(x = Dam, y = Res)) +
theme_bw() + geom_boxplot(fill = "mediumorchid") + my.theme.diag +
xlab("Dam Acclimation Temperature (Degrees C)") + ylab("Pearson Residuals")
layout = rbind(c(1,1,2,2), c(NA,3,3,NA))
grid.arrange(Res.by.Mass, Res.by.Off, Res.by.Dam, nrow = 2, top =
"Absolute Aerobic Scope Residuals", layout_matrix = layout) 
# Very subtle heteroskedasticity across dam acclimation temperature,
# but again, likely not sufficient to change variance structure.
# Calculating p-values.
dwdata.AAS.NMS.m2 = data.frame(term = c(rownames(summary(AAS.m2)$coefficients)),
estimate = c(summary(AAS.m2)$coefficients[1:4]),
std.error = c(summary(AAS.m2)$coefficients[5:8]),
statistic = c(summary(AAS.m2)$coefficients[9:12]))
p.values.m2 = c()
for (i in 1:nrow(dwdata.AAS.NMS.m2)){
p.values.m2[i] = pt(abs(dwdata.AAS.NMS.m2$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.AAS.NMS.m2$p.values = round(p.values.m2, 3)
dwdata.AAS.NMS.m2$term = c("(Intercept)", "log Mass",
"Offspring Acclimation Temperature", "Dam Acclimation Temperature"
)###Testing Model Assumptions for Absolute Aerobic Scope: Model 3.
AAS.m3 = lmer(AAS ~ log(Mass) + Offspring.Acc + Father.Acc +
(1|Mother.ID) + (1|Father.ID), REML = FALSE, weights = 1/log(Mass),
data = AAS.NMS.Data)
summary(AAS.m3)$varcor## Groups Name Std.Dev.
## Mother.ID (Intercept) 0.00000
## Father.ID (Intercept) 0.00000
## Residual 0.19641 # Again, neither paternal nor maternal ID explain residual variance.
Res.Alone = ggplot(data = data.frame("Res" = residuals(AAS.m3, type = "pearson")),
aes(x = 1:nrow(AAS.NMS.Data), y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumseagreen", alpha = 0.5) + xlab("Row Number") +
ylab("Pearson Residuals")
Res.by.Fit = ggplot(data = data.frame("Res" = residuals(AAS.m3, type = "pearson"),
"Fit" = predict(AAS.m3)), aes(x = Fit, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) + xlab("Fitted Values") +
ylab("Pearson Residuals")
Res.by.Resp = ggplot(data = data.frame("Res" = residuals(AAS.m3, type = "pearson"),
"Resp" = AAS.NMS.Data$AAS), aes(x = Resp, y = Res)) + my.theme + theme_bw() +
geom_point(size = 3, colour = "mediumorchid", alpha = 0.5) +
xlab("Resting Metabolic Rate") + ylab("Pearson Residuals")
QQNorm = ggplot(data.frame("Res" = residuals(AAS.m3, type = "pearson"),
"Fit" = predict(AAS.m3)), aes(sample=Res)) + stat_qq(colour = "gold") +
stat_qq_line() + my.theme + theme_bw()
grid.arrange(Res.Alone, Res.by.Fit, Res.by.Resp, QQNorm, nrow = 2, top =
"Absolute Aerobic Scope Residuals") 
# No distinct residual patterns.
qqPlot(residuals(AAS.m3, type = "pearson"), ylab = "Pearson Residuals")
## 102 206
## 76 152 # Normal pearson residuals, as before.
# Again, assessing residuals by predictors.
Res.by.Mass = ggplot(data = data.frame("Res" = residuals(AAS.m3, type = "pearson"),
"Mass" = log(AAS.NMS.Data$Mass)), aes(x = Mass, y = Res)) + theme_bw() + my.theme.diag +
geom_point(size = 3, colour = "cornflowerblue", alpha = 0.5) +
xlab("log Mass (g)") + ylab("Deviance Residuals")
Res.by.Off = ggplot(data = data.frame("Off" = as.factor(AAS.NMS.Data$Offspring.Acc),
"Res" = residuals(AAS.m3, type = "pearson")), aes(x = Off, y = Res)) +
theme_bw() + geom_boxplot(fill = "gold2") + my.theme.diag +
xlab("Offspring Acclimation Temperature (Degrees C)") + ylab("Pearson Residuals")
Res.by.Pat = ggplot(data = data.frame("Pat" = as.factor(AAS.NMS.Data$Mother.Acc),
"Res" = residuals(AAS.m3, type = "pearson")), aes(x = Pat, y = Res)) +
theme_bw() + geom_boxplot(fill = "mediumorchid") + my.theme.diag +
xlab("Dam Acclimation Temperature (Degrees C)") + ylab("Pearson Residuals")
layout = rbind(c(1,1,2,2), c(NA,3,3,NA))
grid.arrange(Res.by.Mass, Res.by.Off, Res.by.Pat, nrow = 2, top =
"Absolute Aerobic Scope Residuals", layout_matrix = layout) 
# Again, very subtle heteroskedasticity across both sire and offspring acclimation
# temperature, though too minor to warrant concern.
# Calculating p-values.
dwdata.AAS.NMS.m3 = data.frame(term = c(rownames(summary(AAS.m3)$coefficients)),
estimate = c(summary(AAS.m2)$coefficients[1:4]),
std.error = c(summary(AAS.m2)$coefficients[5:8]),
statistic = c(summary(AAS.m2)$coefficients[9:12]))
p.values.m3 = c()
for (i in 1:nrow(dwdata.AAS.NMS.m3)){
p.values.m3[i] = pt(abs(dwdata.AAS.NMS.m3$statistic[i]), df = 8, lower.tail = FALSE)
}
dwdata.AAS.NMS.m3$p.values = round(p.values.m3, 3)
dwdata.AAS.NMS.m3$term = c("(Intercept)", "log Mass",
"Offspring Acclimation Temperature", "Sire Acclimation Temperature"
)###Comparing Absolute Aerobic Scope Models by Plot.
dwdata.AAS.NMS.m1 = dwdata.AAS.NMS.m1 %>% mutate(model = "Model 1")
dwdata.AAS.NMS.m2 = dwdata.AAS.NMS.m2 %>% mutate(model = "Model 2")
dwdata.AAS.NMS.m3 = dwdata.AAS.NMS.m3 %>% mutate(model = "Model 3")
AAS.NMS.Models = rbind(dwdata.AAS.NMS.m1, dwdata.AAS.NMS.m2, dwdata.AAS.NMS.m3)
AAS.NMS.Models$estimate = AAS.NMS.Models$estimate*10
AAS.NMS.Models$std.error = AAS.NMS.Models$std.error*10
AAS.NMS.Models %>%
dwplot(style = "distribution", show_intercept = FALSE) + theme_bw() + theme(legend.justification = c(-0.1,-0.1),
legend.position = c(0,0.01)) + my.theme.dw + xlab("Coefficient") + ylab("") + geom_vline(xintercept = 0,
colour = "black", linetype = 2) + scale_fill_manual(values = c("mediumseagreen", "mediumorchid", "cornflowerblue")) +
scale_colour_manual(values = c("black", "black", "black")) + scale_x_continuous(limits = c(-10.0,10.0),
breaks = c(-10.0, -5.0, 0, 5.0, 10.0), label = c("-1.00", "-0.50", "0", "0.50", "1.00"))
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Absolute Aerobic Scope Model Comparisons.jpeg", dpi = 800, limitsize = TRUE)
AAS.NMS.Models$estimate = AAS.NMS.Models$estimate/10
AAS.NMS.Models$std.error = AAS.NMS.Models$std.error/10
AAS.NMS.Fit.m1 = data.frame("Response" = c(AAS.NMS.Data$AAS), "Fit" = c(predict(AAS.m1)),
"Mass" = c(log(AAS.NMS.Data$Mass)))
AAS.NMS.Fit.m2 = data.frame("Response" = c(AAS.NMS.Data$AAS), "Fit" = c(predict(AAS.m2)),
"Mass" = c(log(AAS.NMS.Data$Mass)))
AAS.NMS.Fit.m3 = data.frame("Response" = c(AAS.NMS.Data$AAS), "Fit" = c(predict(AAS.m3)),
"Mass" = c(log(AAS.NMS.Data$Mass)))
AAS.NMS.Fit.m1 = AAS.NMS.Fit.m1 %>% mutate(model = "Model 1")
AAS.NMS.Fit.m2 = AAS.NMS.Fit.m2 %>% mutate(model = "Model 2")
AAS.NMS.Fit.m3 = AAS.NMS.Fit.m3 %>% mutate(model = "Model 3")
AAS.NMS.Fit.All = rbind(AAS.NMS.Fit.m1, AAS.NMS.Fit.m2, AAS.NMS.Fit.m3)
AAS.NMS.Fits = ggplot(data = AAS.NMS.Fit.All, aes(x = Fit, y = Response, fill = model, colour = model,
linetype = model)) + theme_bw() + my.theme + geom_point(pch=21, size = 3, alpha = 0.5) +
geom_smooth(method = "lm") + xlab("Predicted Absolute \n Aerobic Scope (mg O2/h)") +
ylab("Measured Absolute \n Aerobic Scope (mg O2/h)") + scale_fill_manual(values = c("mediumseagreen",
"mediumorchid", "cornflowerblue")) + scale_colour_manual(values = c("black",
"black", "black")) + theme(legend.title=element_blank())
print(AAS.NMS.Fits)
ggsave("/home/joshk/git_repositories/BrookTrout_TG/Figures/Absolute Aerobic Scope Model Fit Comparisons.jpeg", dpi = 800, limitsize = TRUE)###Amalgamating Mass Independant Results.
require('plyr')
R2.Dataframe = ldply(lapply(list(RMR.m1, RMR.m2, RMR.m3,
MMR.m1, MMR.m2, MMR.m3,
AAS.m1, AAS.m2, AAS.m3),
r.squaredGLMM), data.frame)
RMR.NMS.DF1 = subset(RMR.NMS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[1,1])%>%
mutate("Conditional R2" = R2.Dataframe[1,2])%>%
mutate("AIC" = summary(RMR.m1)$AICtab[1])
RMR.NMS.DF2 = subset(RMR.NMS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[2,1])%>%
mutate("Conditional R2" = R2.Dataframe[2,2]) %>%
mutate("AIC" = summary(RMR.m2)$AICtab[1])
RMR.NMS.DF3 = subset(RMR.NMS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[3,1])%>%
mutate("Conditional R2" = R2.Dataframe[3,2])%>%
mutate("AIC" = summary(RMR.m3)$AICtab[1])
RMR.NMS.DF = rbind(RMR.NMS.DF1, RMR.NMS.DF2, RMR.NMS.DF3)
RMR.NMS.DF$Response = "Resting Metabolic Rate"
RMR.NMS.DF$Response = "Resting Metabolic Rate"
RMR.NMS.DF$Response = "Resting Metabolic Rate"
MMR.NMS.DF1 = subset(MMR.NMS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[4,1])%>%
mutate("Conditional R2" = R2.Dataframe[4,2]) %>%
mutate("AIC" = summary(MMR.m1)$AICtab[1])
MMR.NMS.DF2 = subset(MMR.NMS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[5,1])%>%
mutate("Conditional R2" = R2.Dataframe[5,2]) %>%
mutate("AIC" = summary(MMR.m2)$AICtab[1])
MMR.NMS.DF3 = subset(MMR.NMS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[6,1])%>%
mutate("Conditional R2" = R2.Dataframe[6,2]) %>%
mutate("AIC" = summary(MMR.m3)$AICtab[1])
MMR.NMS.DF = rbind(MMR.NMS.DF1, MMR.NMS.DF2, MMR.NMS.DF3)
MMR.NMS.DF$Response = "Maximum Metabolic Rate"
MMR.NMS.DF$Response = "Maximum Metabolic Rate"
MMR.NMS.DF$Response = "Maximum Metabolic Rate"
AAS.NMS.DF1 = subset(AAS.NMS.Models, model == "Model 1") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 1")%>%
mutate("Marginal R2" = R2.Dataframe[7,1])%>%
mutate("Conditional R2" = R2.Dataframe[7,2]) %>%
mutate("AIC" = summary(AAS.m1)$AICtab[1])
AAS.NMS.DF2 = subset(AAS.NMS.Models, model == "Model 2") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 2")%>%
mutate("Marginal R2" = R2.Dataframe[8,1])%>%
mutate("Conditional R2" = R2.Dataframe[8,2]) %>%
mutate("AIC" = summary(AAS.m2)$AICtab[1])
AAS.NMS.DF3 = subset(AAS.NMS.Models, model == "Model 3") %>% mutate("df" = 8)%>%
mutate("Model Number" = "Model 3")%>%
mutate("Marginal R2" = R2.Dataframe[9,1])%>%
mutate("Conditional R2" = R2.Dataframe[9,2]) %>%
mutate("AIC" = summary(AAS.m3)$AICtab[1])
AAS.NMS.DF = rbind(AAS.NMS.DF1, AAS.NMS.DF2, AAS.NMS.DF3)
AAS.NMS.DF$Response = "Absolute Aerobic Scope"
AAS.NMS.DF$Response = "Absolute Aerobic Scope"
AAS.NMS.DF$Response = "Absolute Aerobic Scope"
AllData.NMS = rbind(RMR.NMS.DF, MMR.NMS.DF, AAS.NMS.DF)
AllData.NMS = AllData.NMS %>% select("Response", "Model Number", "term", "estimate", "std.error", "statistic",
"df", "p.values", "AIC",
"Marginal R2", "Conditional R2")
colnames(AllData.NMS) = c("Response Variable", "Model Number", "Model Parameter", "Estimate (beta)",
"Std.Error", "T Statistic", "DF", "p",
"AIC", "Marginal R2", "Conditional R2")
New.Parameters = c()
for(i in 1:nrow(AllData.NMS)){
New.Parameters[i] = gsub("\n", "", AllData.NMS$"Model Parameter"[i])
}
AllData.NMS$"Model Parameter" = New.Parameters
write.csv(AllData.NMS, "Mass Independant Model Output Results.csv")